Bought a DAC, Do i need an expensive CD player?

Just bought a Tadac (equivalent to a MHDT Havana or Monarchy), need a transport/CD player to play music.
Am looking for very high quality sound and am concerned that a cheap transport will compromise sound and be the weak link in my system.

Do i need to buy an expensive CD player as a transport? If i use a Blu ray player as a CD player, i read that the power supply will suck, there will be jitter issues and that will all come through, with a poor source regardless of the DAC.

Possibly considering buying a Rega Planet 2000 or Apollo used, but read that CD players don't have long lives and that it is better to buy new.

Also considering purchase of a Pioneer 51FD Blu ray, as i need a Blu ray anyway, and for a mass market item, it is quite large and built (somewhat) like a tank.

By the way, will use of a Monarchy DIP or jitter control device bring the sound quality of a poor source close to that of a world class one? Will use of a different power cord help? The only thing that i can't do anything about is a poor power supply. Or will i save money by just buying a nice CD player anyway?

Or is it simply better to save my money and use my computer as a source?

How do i convert my cds to lossless files? Will be purchsing a Squeezebox Duet anyway for other reasons.