Your uni doesn't allow you to connect your trey?
Anyways, in my experience, trophies do not carry over when you move save files over. However, there is no danger of losing trophies if you start again on another PS3, when you finally get around to syncing the trophies on your first PS3, they just merge.
To connect, you have to have your computer security checked EVERY SINGLE DAY by downloading a programme, which I doubt would run on a PS3
And that does sound nice and re-assuring