I'd have to also remove any a&m sticker off my car...
No, actually, the law school parking lot here at Tech has a ton of cars and suvs with different stickers. All you have to do is add a Tech sticker, and you are good

Plus, plenty of undergrads leave their community college parking stickers stickers up and such, too, so it's really no big deal unless you are screaming "Go UT!" or "Go A&M!" into a crowd or at the stadium in the students section. Tech students and Tech security don't like people who purposely go into the student section to do that. Last time I saw that happen the kid was escorted out, and the time before that, a food fight. But, realistically, most Tech students go to UT games wearing orange for safety reasons, and some professors here recommend it. So, stickers can stay, but maroon t-shirts, yeah, they need to go.
I recommend Tech Terrace (19th & Indiana) if you are looking for a house to rent close to the law school. It is very nice, and it is actually cheaper than a lot of the apartment complexes here

You can literally walk to law school every day, and there is a nice flower shop, coffee shop (J&B), a park, and small grocery store nestled in the neighborhood where a green trolley comes around every 30 minutes or so. Very convenient.