You'll be able to store a lot of your stuff at uni. Usually you'll get a locker and somewhere to shove your portfolio/sketchbooks.
Also, when you get a studio space you can generally do what you please with it. While I was on foundation there was very little thievery of other people's stuff and you do end up sharing stuff like white spirit/paper. I used to leave all my paints/brushes/sketchbooks in my space no problemo.