Ayre C-5XE MP, Simaudio Moon Andromeda, or Esoteric K-01X

Wanting to upgrade my Proceed PDT/PDP CD transport/DA converter from the early 1990's.
I am wanting to play many hundreds of Redbook CD's that I have collected, and I also want to start acquiring  SACD's.
I prefer to listen to classical and jazz, but I also listen to some rock and pop music also.
2 channel stereo listening only. 
I am running a pair of Mark Levinson No. 20.6 amps and a No. 26S preamp. B&W 801 Matrix Series 3 speakers.
Out of the 3 players listed:
Ayre C-5XE MP
Simaudio Moon Andromeda
Esoteric K-01X

I am wanting to buy a used CD/SACD player that will give me the biggest gain in 2 channel stereo reproduction. If the Esoteric K-01X sounds even a little better than the  Ayre C-5XE MP and the  Simaudio Moon Andromeda, I will spend the money. If there is another brand that you feel is better than any of the 3 that I have listed, please advise and/or educate me.
I know that the 3 players that I have listed cover a wide price range. I have talked to Ayre and they will hands down say that the  C-5XE MP will compete sonically with anything out there. At the same time I would like to know if the Esoteric K-01X is sonically superior to anything up to its price range.

I have not kept up with the technology advancements in CD/SACD players for the past 25 years so I have been reading everything that I can to get caught up. Lots of people on the forums that own/have owned a lot of great CD CD players/transports/DA converters. A lot of great units out there. All opinions welcome.