I had the same issue 2 years ago, buy a new CD player or go into server/streamer. My dealer talked me into the server/stream Bluesound Vault 2 and I have never looked back. I burned all my CD's into the Bluesound and can't for the life of me find a good reason to play a CD.
The Bluesound is a bit over $1,000 new; used or DIY for less, but the Bluesound was basically plug and play and I didn't want to deal with any problems of DIY. Also, the Bluesound has an internal DAC, so you can just plug it into your pre. And later if you like, you can use an external DAC for an easy upgrade.
The Bluesound lets you load all your CD music, gives you all the streaming you might want and some you didn't know existed (Radio Paradise for one). It really got me comfortable with streaming. Yes, there are 'better' and 'cheaper' solutions, but not in the same box. I have since upgraded to an Aurender, but have never regretted getting the Bluesound. I know this sounds like an ad, but it's one of the few times I was 100% happy with the dealer and the solution. This worked very well for me. Hope this helps.