Your exemption (and whether or not you need one) depends on the specific University that you attend, so you should contact the admissions office for the colleges that you are considering.

Most states require immunization for college students.  Some have separate exemption laws, while others have one set of exemption laws that apply to all schools, including post-secondary schools.  College students in healthcare curriculums that require them to do clinical work in local hospitals or other healthcare facilities may have a more complicated situation.  Those facilities may require vaccines of their employees and students doing clinical work as a matter of institutional policy, and not state law.  Where that's the case, state exemption laws may not be helpful.  There is a law in about a dozen states that can help students with religous-based objections (which qualifies in broad, but there are legal pitfalls as well).