Like Charles said, CRT sets are practically free now, you can probably even find a nice 16:9 Sony XBR for practically nothing. If I wanted to stay with CRT that's the one I'd be looking for, maybe two or three of them so you have a lifetime supply.
If you want to stay with a 4:3 screen then make sure it supports Progressive Scan (Red, Blue and Green RCA Jacks) the picture improvement using Progressive Scan and a DVD player that supports it is not subtle at all.
Being only 10 years old Your Trinitron probably has it already?