I also have a CEC, a TL1X, which I'm using with a Chord DAC64, through an AR preamp, into Bryston 7B-STs. Speakers are SoundLab A-3s.
To me the CEC/Chord combination is magical. I also have a Burmester 001 player, but find myself listening mostly to the CEC/Chord combo. I haven't truly determined which I prefer overall, but when I do, I'll probably put one or the other on the market. For now, however, it's nice to have the option of choosing between the two, depending on my mood and the nature of the music being played.