CDP or DAC?


I want to get back to playing and enjoying my 500+ cd's!  Been listening 95% of the time to a nice high end turntable $15k+ setup but would also like to have the option of listening to my cd collection to where it sounds at least competitive with my vinyl enjoyment.

I have no interest in streaming just playing cd's.   Does it make more sense to go with a cdp or transport and separate dac?

Budget $5 - $15k.  Thoughts
bobheinatz
I should have also pointed out that the New Used Power Cable on the CDT is a PC Triple C Nano Treated Cable.
It has had quite a impact on the CDT and the DAC, almost parity.
I keep it on the CDT, as I like to think the DAC receives all the benefits of the CDT and the COAX.
I am now looking to increase the quantity of these Power Cable Types used in the system.   
@mozartfan:

I had a Jolida JD100 for quite awhile -- I'm sure it was no competition for the Cayin!

Laser light scattering inside the disc screws with the ability to read the discs.  Machina Dynamica sells a mica looking material that you cut to fit your tray. AMAZING
I just ordered the Bryston BCD-3 CD Player a few days ago. The majority of my listening has been listening to  LPs. I like swapping cartridges (Lrya, Ortofon and Kiseki). I do have over 2000 CDs, and the many of the classical CDs are not available on vinyl.

Many years ago I set up a Mac Mini music server. I bought a Wavelength Crimson Dac, and it does sound very good. There’s nothing like triode tubes for an output stage. But I haven’t used this setup in a long time. I prefer playing physical media.