Whether you purchase and LCD or Plasma is mostly application dependent. Are you in a bright room with bad light reflections? How bad does your CRT look in that room? Is your viewing positon 6-7' or less, if not, 1080p does not matter (the Pioneer accepts 1080p/24 input).
Honestly, the plasma has a much more natural picture. Your eyes may tell you different and that is what is key. For me, the LCD is very artificial looking, but I am purchasing one (Mitsubishi LT-46131) for a location that would better be served by LCD even though the Pioneer 5070 blows away every LCD picture I have ever seen and I will be purchasing the 5070 or 6070 for my family room, where i can control light reflections and my viewing will be more critical.
The key I would focus on is the ability to accept a 1080p input as opposed to a 1080p output, unless you are sitting very close.
Plasma burn-in appears to be much over-hyped. As long as you are responsible and turn down the brightness and contrast settings, this really should not be an issue. I have been looking at Plasmas for 6 months trying to decide what to buy and I have yet to see one with burn-in. Does your CRT have burn-in? If not, then I would not worry about it too much. Be responsible, set it up correctly and enjoy.
Both LCD and Plasma have their place and if applied correctly will provide the user with the best picture possible. There is NO single solution for every application.
Hope this helps.