Streaming virgin

You pretty much have to start with a BluNode.
Plug it into the amp and get your feet wet.
It, like most streamers require a smart phone or tablet and a wifi network for control.

If your goal is simply "discovery", an Auris BluME HD bluetooth receiver will do the trick at just over $100. It is bluetooth and you are using Spotify, so it will be a lossy digital stream and sound quality will not be optimal. However, I use one and I can tell you it is plenty good enough for me in my system. I use it regularly for the exact application you mention - discovery. For me, Spotify Premium, and their "Discover Weekly" playlist, have resulted in more "new to me" music than any other source. My second most successful source for new music has been streaming Radio Paradise's internet radio, which you can also do with the Auris BlueME HD.

To use the above you just need to plug the analog output of the Auris BlueME HD into a spare line-level input on your integrated amp. From there, pair any bluetooth enabled device to the Auris, go the the app of choice (Spotify, Radio Paradise, etc.) and play. It will transmit from your device (Kindle, mobile phone, etc.). Lastly, if your integrated amp has the DAC module in it, you can connect the Auris using a digital cable and use the DAC in your integrated amp. BTW, I do this in my system and there is a marginal improvement in sound quality using the external DAC vs the internal DAC in the Auris.

Easy, Peasy, only $100-ish dollars and works great. Likely won't match the SQ of your CD setup, but perfectly fine for discovery and non-critical listening.

@dagery Does the kindle have digital out? If it does you could go digital out to the USB B input on your integrated amp.

If not, you could purchase an Apple iPad (or any pad that has digital out ) and use the Spotify app and go digital out from the PAD to the USB input on the integrated. This will be a good way to get your feet wet without spending to much. I have an iPAD that I do this with using the Qobuz app on the iPAD. If you buy the iPAD air I think it has a USB C connector instead of lighting connector. USB C to USB B connectors are easy to acquire. My iPAD has the lighting port. I just bought an adapter that goes from lighting to USB A then has a USB B termination that will go into my DAC.
The only negative is the PAD is hard wired to the integrated and runs on battery during this time. The advantage is that if you do decide to invest in a dedicated streamer you can always use the iPAD as a controller.

The other advantage is if Spotify lets you download tracks.  Qobuz has a feature where in you can download HiRez files local do the Tablet/PAD and then play them.  In fact its the required method to play anything higher than Redbook CD quality.  Can come in handy if you have planned network outage or trouble shooting network SQ issues.

Example
AudioQuest USB C to USB Bhttps://www.audioquest.com/cables/digital-cables/usb-b-to-usb-c/usb-b-to-c-forest

That integrated has an 1/8 inch mini jack input on the front of it. Have you tried using that with the kindle? you mentioned you were using earphones. Of course this will be using the crappy DAC in the kindle.

Is there a DAC within the integrated amp or transport?

You may already have a DAC and only need to have a streamer to your system.  

@mrklas
Yes that Amp should have a ESS9018K2M according to the user manual.  That is why I was recommending going digital in.

Then as a subsequent step you could fire up a trial subscription of  Tidal or Qobuz and try hi rez to see if its worth the spend. Deezer is also an option and streams at RedBook CD quality and has a vast music collection.

OH!  @dagery if the Moon 260 is a "D" it should have a DAC as well.  Does the CD player have digital inputs on the back?  Or was the unit $2,000 or $3,000?

@ jbuhl 
The ads say that the DAC is an option. So the OP may not have that option installed. That may be a route to get his feet wet as well, depending on cost. And it may be a plug in option

The cd is the transport. The amp has the dac.  I was hoping to maintain at least cd quality.  I would subscribe to a better streaming service for that purpose. So am I right that all I should need to do is add a stand alone streamer to my current system?  If so is that then just a wifi connection thru an app?  I forgot I also have Amazon HD music service

@dagery

Correct. All you need is a streamer digitally connected to the amp. As suggested a Bluesound Node is what many people start with and an end for some. If you want to get something that is comparable in quality with your current gear you might look at the Lumin or Bryston products.
As far as connectivity, generally, the streamer will need to be either Wifi Capable our connected via ethernet cable to your router/modem. Most people will tell you its better to have the streamer hard wired to the network especially if your wifi is shaky. I use a mesh network and have a mesh node sitting near my rig and then hard wire ethernet to the streamer. Purdy solid.

Deezer,Tidal and Qobuz are your services along with The Amazons for higher resolution.

Note. As I mentioned before you could get started with a nominal investment in a tablet that has digital out capability.

Bluesound has a nice user interface- I think worth the cost. 

This is what I use, it sounds good and it's been pretty bulletproof 5 years and still going strong. Auralic stopped making them and they are almost never on the used market this one won't last too long. You will need an IOS device Ipad or Iphone to control it.


https://www.usaudiomart.com/details/649783840-auralic-aries-mini-with-teradak-power-supply/

Your Phone.

So, where do I start?

I have to start somewhere.

A broadly optimized streaming device no one ever thinks of, nor mentions.

I’d stay clear of the headphone outs and Bluetooth as neither of those options are going to sound very good.  Digital streaming from a quality device dedicated to the task has the potential to introduce you to some truly outstanding experiences far exceeding CD.  Get the Bluesound Node.  It’s easy to use, easy to setup, supports nearly everything you’ll want it to (including MQA) and won’t break the bank.  Right out of the box it sounds pretty good if not a little on the dark side and if you want to take the next step you can do a dedicated DA or feed its digital to your integrated (losing the MQA if you go that route).  It’s a great entry to hi res streaming and easy to sell if you decide to step up to something better.

The blusound node is a great start, but if $500 is too much for starters l would suggest the Dayton audio WBA31. It is around $50 at Parts Express. It has RCA and optical outputs. It supports Tidal, Spotify (paid subscription) and many others (not Qobuz) by wifi streaming.

@dagery
although not required, you might want to add Roon - a software which makes all you file sources look like one library, and allows you to do in depth queries like “which albums did this drummer play in”
https://roonlabs.com

I second the Node.  They just upgraded the DAC and you can compare it with the DAC in your amp.  I like the Bluetooth option for discovery but the Node has both Bluetooth and AirPlay, so even if Spotify and Bluesound don’t work with each other you can still stream to it for discovery

For $549 USD, the Bluesound Node packs a lot of features.  My connection preference:  ethernet cable to the Node, then USB or SPDIF to your amp.  It can be controlled from an IR remote, a desktop application, phone app, or its own box-top buttons.  Plus, it's a Roon-ready device.

I'm not extremely tech savvy either so I went an easy way and purchased a Marantz ND 8006 CDP/streamer and its so easy to use. I also have Spotify and the 8006 connects to your phone via Wifi---then voila! Spotify is streaming through your stereo. Good DAC too! Its a great piece for streaming and playing CDs.Technics also has a new CD/Streamer that's getting good reviews. Good luck!!

Hello,
Bluesound Node 2i. The reason I am suggesting the older model is you can get them for $100 less. So this should run you $450. If that is out of the budget there are some nice Bluetooth devices that connect to your stereo with RCA cables. In some cases your music will stay at cd quality. This can cost $50 to $150 for a nice one. Since the BlueSound products have this built in plus you can do wired or wireless speakers and it has a toslink input for your tv or CD player I would try to get into a BlueSound Node 2i. If any of you are near the Chicagoland area this store has all of these options and more. https://holmaudio.com/
They also let you try stuff out in your home to make sure it works with your system. 

I started this journey ~ two years ago and here are some of my lessons learned:

1.  Determine what "STREAMING" means for you:  It can be just an online music service like SPOTIFY, Amazon Music HD, Tidal, Qobuz etc.  It can also be a bunch of downloaded files (FLAC, DSD etc) stored on a Network Attached Storage (NAS) or USB Drive or on a computer that can be 'seen' by the streamer as a source of music files (UPnP) .  It can also be physical digital media like CD/SACD or ripped CD's.  It can also be everything on a tablet transmitted by Bluetooth !

2. Once you've decided on what your sources of digital music would be, then you can start shopping for appropriate gear to make it happen.  Take your TIME !!!!

3.  Bluesound's product offerings provides incredible value but it needs to fit your sources of digital music as well as possible online music services.

4.  There's also this music management system called "ROON" that is a way to organize and present your music sources with lots of meta-data (about the artist, the track, the album...) .  This requires some sort of ROON architecture (Server, end point ) to make it happen.  It works with some online streaming services but not others so be aware.

In my very simple use case, I have Amazon Music HD as my only online streaming service, have CD's and SACD's (never ripped, yet) .. have some DSD and FLAC files that I bought online on a thumb drive (for now), have some music other files on a computer... So I ended up with the Marantz SACD30n (due to its CD/SACD playback capability plus it is one of VERY FEW devices that can stream Amazon Music in their HD format natively).  I also have a few DACs in my chain that can handle DSD and PCM music,  in order to test the different sound signature of different DACs.  The music files on my laptops can also be connected to my DACs running Audirvana.  Sometimes, I stream Amazon Music HD via Bluetooth to either one of my DACs or to the Marantz SACD30n.  All works great too ! In short, there are several ways to "skin this cat".

Bottom line, take your time and spend your money slowly and wisely.  It can get out of control fast as I've seen music streamers / services north of $20K USD which is truly amazing. 

GOOD LUCK !  

Nonsense. And False.

I’d stay clear of the headphone outs and Bluetooth as neither of those options are going to sound very good.

Phone outputs can be optimized similar to any other streaming device.

You also have USB out from a phone.

The knee jerk reaction around here is Bluesound. 

If you want to get into steaming on the cheap, without having to use a tablet, phone or laptop, check out the Grace Digital Link Radio. It connects to your dac or integrated amp via a digital coax interconnect and plays through your hifi. It has a nice screen and Is easy to use. It also has the capability to stream Hi-Res audio should you care to do so. The built in apps include both Amazon Music and Pandora, and it has access to over 100,000 Radio stations from all over the world, plus Chromecast built-in and Bluetooth. It also has a remote. $179 cannot be beat. I use one, and to me, it sounds terrific. It will most likely be all I will ever need. I’m a CD, LP, and Cassette kind of guy, but when I’m lazy, I turn to my Grace Radio.
https://gracedigital.com/products/grace-link

Blusound Node 2i: 450-550
Cat 6 or higher cable: 20 on up
HD Streaming service: 8 on up per month.

This will give you full HD playback capability.  The Bluesound ap will work on your phone or laptop.  Many say BS ap is better than the one in more expensive streamers.  I added a DAC.  You can buy several different designs and sound signatures.  You will need an interconnect between Node and DAC.  I use a $40 coax with RCA connecters.

You will notice volume differences with songs.  Use FIXED volume on the Node and adjust volume using your preamp.