The first thing i would try is to run your CD player WITHOUT splitting the signal into two amps. You may surprised that your bass will improve due to the fact you CD's output stage may not have enough horsepower to PROPERLY drive the 2 sets of outputs. The second thing I would try would depend on what tube compiment you are using in your CD player. Let us know the tubes before taking any other measures. What interconnects are you using between the CD and the amp. It could be that you get what you are after without spending a bunch of money.
Good luck.
Good luck.