+1 on @georgehifi suggestion. Separate transport and DAC.
I have a lot of CD's and l like putting one on and settling in to it. I have a streamer, too, but sometimes I switch from one thing to another too much and the CD experience is just, well, mellow and focused.
As to technology, I decided I wanted to go separates for the following reasons:
A separate transport will be be built well — there's no split of cost with an internal DAC. Plus, it's hard to know how good the DAC is, unless the unit is very expensive. And DACs change.
I decided that I would probably not listen to CD's forever, so I capped my expenditures on CD transports at about $500. In that field, largely via forum advice and reviews, I narrowed down to two transports: Cambridge CXC and Audiolab 6000. There is a v.2 of the Cambridge, but by going with the first model, I saved about $100. I like it very much.
So, DAC's. There are many options, as stated. I knew I wanted to try an R2R tube DAC and went with an MHDT Orchid for about $1100. Again, there are many options, and much less or more could be spent and I suspect there would still be good quality, either way.