UT Austin will likely not give you a dime. They are not known for merit aid. Heck, some of their recruited D1 athletes only get $$ for books each semester :)) There are a super limited number of “40 Acres Scholars” but that is about 20-30 kids out of thousands and thousands. You cannot count on that at all.
TCU actually does give some decent merit, but since it is private you might be left with still lots left over to pay. It is not guaranteed merit either so while your chances are better there, it isn’t guaranteed.
Are you IN Texas? If so, what is your class rank?
Is your goal a full-tuition scholarship or do your parents say they can pay full price?