Law School
Well, the most legitimate answer is that over the full course of your career your inherent skills and work ethic will make the most difference to your level of success, not the school you attend.
However, if forced to paint with a broad, inaccurate and somewhat dated brush, my experience is that LSU grads have the best overall combination of basic legal knowledge, practical approach to law and personal resiliency. Tulane has a reputation for excellent professors but the students are less tested by law school attrition pressure (the old saying for Tulane was: you pay your fees, you get your B's). I am a Loyola grad and was severely disappointed both in the overall quality of the professors and the profit-centric focus of the administration. I had some excellent professors here and there but as a group they were pretty underwhelming.
In the interest of full disclosure, my opinion is largely based on anecdotal experiences (many of which extend back 20+ years) but, if I had the choice and intended to practice in Lafayette, LSU would be the clear choice for me. Gird your loins for the attrition process though -- I've seen incredibly smart people crap out first year and absolute idiots make law review, so who really knows??????