Streaming virgin

I know this is a broad topic but I have to start somewhere. Up to now my source has only been my cd collection. I would like to get into streaming to discover new music.  My current system is modest consisting of a Simaudio 340ix integrated and 260d transport.  Speakers are Focal936.  I currently have a Spotify premium account that I use with my Amazon kindle tablet and ear phones.  I do not have a PC at present. So, where do I start?  Will I need additional equipment ie computer, server, etc?  I am pretty ignorant with all this tech stuff.  I'm looking to get quality sound as easily as possible and if I have to spend a few bucks to do so thats ok.