Whoo, time to remove dust from my crystal-ball!
Jokes aside, how can a person reading this post give an opinion with no relevant information whatsoever?
You said that Ubuntu 11.04 on one of your 2 computers "does it fine on the try level" (what it's doing fine and what the heck is a try level?), while the other freezes immediately (again, doing what?).
Without additional information on what you consider a "try level", what have you done or tried to do and the system specs for the two computers I guess nobody can answer if Ubuntu 12.04 is going to work flawlessly on your machines.