Are you actually planning on permanently moving there or are you just going to school?
Where are you going to live? If you are going to be in a dorm room, you are barely going to have enough room for your clothes. Pack what you need in your car. If you are flying, bring two suitcases and have someone send a box or two of some more stuff once you get there and have an address.
If you still have a bunch of stuff left over and don't plan on staying in Utah, put it in storage (or leave it with family--you didn't mention what your current living situation is).
If you are planning on moving to Utah permanently and you don't have a whole lot of stuff, rent a U-Haul trailer or truck, haul it out there, and be prepared to put a lot of it in storage.