The small Bybee purifier is rated for up to 4.3 amps.
You can put it in the hot lead on the incoming AC. Most CD players will not draw that much current.
There is not much else to be done with just one.
If your current Bybee is one of the older, non slipstream, purifiers, I have a few of those left over that I would be willing to sell for $50.00.
With two you can add the to the audio output connections.