You can use LinkedIn to get a sense of where ME’s from UF and UM work, etc. Search for the university and then select the Alumni tab. Then search on engineering or mechanical engineering.
UF also publishes it’s graduation survey results. You can select Mechanical Engineering and see info like starting salaries, internships, etc.
https://career.ufl.edu/gain-experience/student-outcomes/
The website is down this morning, but you can look at the previous year’s data…
https://career.ufl.edu/2016-2017-student-outcomes/
UM has a much smaller program. You’ll be in smaller engineering classes (a plus), but you will not have the same number of options (classes, design teams, etc.) that you would find at UF.
You can view the UF career fair participants to get a sense of who recruits at UF (LinkedIn also works).
https://ufl-csm.symplicity.com/events/students.php?mode=list&cf=CSFall18
Good luck!