My advice is to upgrade your source component. This doesn't necessarily mean getting rid of your existing CD player. If your CD player has a digital out have you thought about getting an outboard DAC.
Think about it this way. If you take the money you spend on a CD changer and spread it out between it's parts, you can see that there is alot of money spent on mechanical parts that in no way aid the musical signal, in fact they probably degrade it.
Now take that theory and apply it to a DAC. Virtually all your money is spent on parts that will influence the musical signal, plus you get to keep the convience of the 6 disc changer.
You may think that a DAC is too much money. There are, however, some companies that make some very affordable DACs. I have a Channel Island Audio DAC that I bought for $350 including a digital cable. It's a very small box that would be easy to hide if you were so inclined. There are also other companies like MSB and Cambridge Audio that make some affordable DACs. Many of them are upgradable too.
I hope this was of some help to you.
