While it would be a good idea to get your CFI early and instyruct to build hours and make money during school, there may be a problem with doing that at a university flight training program....

Those programs are usually very structured, you earn ratings according to a set schedule over 4 years. The CFI ratings would typically be last and you might not get them until senior year.

Check with the school to find out how that would work.

Another option might to do all your flight training first at a part 141 non-university program, get your CFI(s), and then teach while you are in college. But odds are that you are financially much, much better off using the post 9/11 GI Bill for your college degree with a flight training program, even if you don't get your CFI until then end.