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