replace cd player and computer speakers

Really depends on how serious you are about vinyl. The Decco has a decent MM phono input, and the Pro-Ject Debut Carbon is a good budget table that comes with tonearm and cartridge and is worth a look. I can’t comment on relative performance regarding tracking and surface noise, and you’ll get better recommendations on that in the “Turntables” forum. Also, it’s very helpful for someone trying to make a recommendation to have a dollar amount for budget purposes. Just saying you want the improvements to justify the increased cost doesn’t really help much, especially on this site.

I reiterate my above recommendation that will do what you’re looking for and strongly encourage you to get away from cheap, self-powered speakers.  Another thing to consider is speaker placement in your room.  Pulling speakers out another foot or more from the back wall can do wonders for clearing up sound and dramatically improve imaging and soundstage as well. 

I’d ditch the powered speaker thing as it’s very limiting in terms of options if you’re looking for better sound.  You can get a factory-certified Peachtree Decco 125 Sky integrated amp for $599 on eBay that puts out 125Wpc and has a DAC and MM phono input.  Pair this with something like Wharfedale Diamond 10.2 speakers available on Reverb for $299 and you’d have an excellent, space efficient, and very cost-effective system.  All you need is a decent CD transport (such as a Cambridge Audio, Marantz, etc. CD player) and you’re done.  Of course you can also start a hi-res Qobuz subscription for $15/month since the Decco Sky has streaming capability and potentially ditch CDs altogether while also opening up worlds of new music.  Just one option.  Hope this helps, and best of luck in your search. 

Budget? And what speakers and amp were you using?