Thanks for the display suggestions guys. I had considered buying a smaller TV just for playing my Xbox on, but it would pretty much leave me broke. As BBM pointed out I did just spend the majority of my funds on a MacBook Pro, and I should really be keeping what I have left for one of those situations that will arise where I need to buy something important.
The other downside to my bringing my Xbox up is the amount that I will end up spending on it. I'll end up buying L4D2, Halo ODST, MW2 and a new controller, because mine has pretty much had it.
The display isn't so much the problem, because I could just take the TV from my room at home up with me, but then like I said I wouldn't be able to watch TV in my room when I get home.
I still have my 17" Windows laptop at uni, but I was unsure if it is possible to use a laptop for displaying an Xbox. So you're telling me the best way to do this would be to get some kind of capture card?