As a Florida attorney, there is some blatantly bad advice given along with some good advice. Here is my take.
Yes, you can get a job with a law firm graduating from University of Florida, Miami and Florida State. I don't know much about FIU since they are too new, and I haven't encountered any Stetson grads in south Florida. However, if you want a significant chance of getting a job with Big Law, you will need to be in either the top 10% of your class or on law review or both. Winning some national competitions might help.
However, not everyone ascribes to big law. For example, if you want to work in the tax department of a big accounting firm, you can go to any school and take a bunch of tax courses. Miami and Florida would be particularly well known for this.
If you want to work for the government, any law school will work as long as you do well. Grades and class rank really do matter in hiring.
AS for Miami, FIU and Stetson, each have their local benefits. Miami is very well known among Miami firms and accounting firms. Stetson is well known in Tampa, FIU is certainly up and coming and is VERY inexpensive. Remember , after the first year, you can easily establish in-state residency ,which makes schools like FIU, FSU, and Florida a steal compared to their private school counterparts.
Also, if you have a great personality and are willing to hussle and network, you can get jobs in law from any of these four schools even with a rank lower than 10%
Finally, if you don't want to practice law but want some ancillary career such as financial planning, the school won't mater as much. However, Florida, Miami, and Stetson would have good programs for tax and elder law.
As for other Florida law schools, I would stay away from them.