How likely are you to change your major?
For an undergraduate student, changing your major is quite common. If this is likely to happen to you, the strength of the university and the breadth of programs offered by the university are important.
If you are sure what your major is going to be, then the strength of the program is more important. However, there are students who are sure what their major will be, but six months later have a different major.
For graduate school, the strength of the program is more important.
However, I agree with @happy1 that naming the schools would allow you to get better advice.