I'm applying to Baylor University, and it's my dream to attend there. It's a great school, and I fell in love with it. The pre-professional programs are really good. The university also has a new building for business students. Also, 20% of Baylor College of Medicine's board is Baylor University owned. Although they split their relationship a while back, the Baylor and BCM ties are still there somewhat, which is great. Their pre-med is rigorous and they boast a 75% acceptance rate to medical school. Waco is meh I heard.
Rice is also very prestigious. The campus is beautiful and is in a really nice part of Houston. Also, given the location (right beside the medical center), it can't get better than that. Rice is a great university as well.
University of Texas in Austin is also a great university. It's getting harder to get into, and is the best public university in Texas. However, it does have ~50,000 students. If you start to fall behind, no one is really there to catch you. It's a giant university, and in the best place in Texas (Austin). Very liberal, lots of partying. Just keep in mind that the sheer size of the university may be daunting, and can make it more difficult to get help.
Texas A&M is a great school. College Station is pretty fun, and the campus is enormous. It's a fifteen minute bike ride from one side of the campus to another (I forgot the specifics). A lot of people love A&M, but again, it's massive.
What's nice is that the tuition for TAMU and UT is very low, however, Baylor is very kind with their scholarship money. I've been to all these universities. I'm personally applying to UT, A&M, and Baylor. Baylor is my first choice, A&M is my second choice. If I pull off a hail Mary and get into UT, of course I'd go there. I have two friends who go to Baylor. One is pre-law/engineering and loved it. He said that the campus is small and that everyone knows each other. It's a very nice, small-knit family. He knows everyone in his graduating class. The other is pre-dental and in Honors, and he is enjoying himself as well. I have a bunch of friends at UT Austin and their partying their ass off and attending McCombs.
Sorry for the long response, just wanted to give you a good idea of what the universities are like. Honestly, they're all good. Sorry for any typos or grammar mistakes, I'm tired.