you could keep the CDP 3, and add something like a Squeezebox for the home made CDs (which would not actually need to be homemade CDs anymore... just digital media on you computer). even though media is dated, i can appreciate the desire to keep the quality hifi components.
fwiw my favorite CD players are made by Rega and Musical Fidelity (the apollo and the A5 respectively). Not sure how those handle homemade CDs, but they are a lot more expensive than a squeezebox