Ah. I'd just call them "schools" or "colleges." I guess I'm just old studio.
You have a bunch of things that you need to decide:
* How much you want to pay
* What you want to do with your degree
* How far away from home/parental units/significant others you want to be
* How much of the college "experience" you want
* What kind of weather suits your fancy (Tempe, AZ = up to 120 degrees F in the summer, 300 days of sunshine and monsoons. Eastman's in Rochester, NY. That = down to 10 below in the winter, 100 days of sunshine and metric tons of snow.)
* How large of a school you want (I Googled: ASU's got about 73K students and Eastman has around 1K students)
Not to be snide in any way, it also depends on how good you are -- not how good you think you are. You're going to need more serious chops to get into Eastman, Juliard, etc. than ASU. Additionally, if you're going for performance, you're probably going to be graded harder than someone that's doing Music Ed or something like that.
I went to SUNY College at Fredonia for one main reason: the teacher that taught my teacher taught there. However, I wasn't good enough to get into music full time, but I was good enough to be in a playing class with the teacher I wanted. I was also planning on going into music education, anyhow, and Fredonia was a big teaching school. It was also 60ish miles from my home and my two jobs. (I still wonder how my life would have been different if I accepted the biology scholarship in Maine ....)
BTW, what year are you going into? That might make a difference as years 1 and 2 are mostly prerequisites 'n' stuff.
FWIW, I work with a trumpet player that got his performance degree from ASU. While he does play in a couple groups, neither his or my main job has anything to do with music
.