UTSPH---
PROS--Very diverse, interdisciplinary and has the multiple campuses which is a plus if you have a specific taste in where you want to live. There are so many professors and centers compared to all schools I have looked at. The area has rapid employment as of yet and the rent isn't too expensive. The concentrations are exciting and can add boost to your resume. They have the customized degree. At the UT Austin campus you are taught by UT Austin professors.
CONS--Most all research is centered in Houston and I have heard bad things about Houston (not safe, big city, ghetto). Even for Austin which is centered in the health promotion site, the research is in Houston for the most part. Contact has been difficult with certain departments, not sure how employment is, they don't seem to be as organized and I haven't been able to find a facebook page for admitted students (which means people aren't as excited as other schools per say)
Tulane--Pros: Ranking compared to UTSPH, amazing genetic aspect to their research which I love, is the only school with a tropical medicine component, NOLA is rebuilding after the storm and has a lot of opportunities, they are trying to emphasized science, have been very responsive and the current students have been helpful, many different research departments, oldest school of public health
Cons: The city of NOLA is a little unsafe and there is some crime, not ranked as high as other programs, there aren't as many professors as compared to other schools, no concentrations/certificates, no MCH concentration, majority of students are MD, wasn't able to attend admitted students day as it was so early
These are just my opinions!