Clinical Psychologist or Counseling Psychologist?

Can someone explain the difference between a clinical psychologist and a counseling psychologist? Does the difference between a PhD and a PsyD play a role?

I’ve read that a PhD generally tracks to an academic career. What about PsyD’s? Can they create a career that’s a combo of counseling, research and teaching?

Does anyone know about the reputation of the University of Nebraska at Lincoln’s psychology graduate school?

Is it true that professional schools of psychology don’t have as good of a reputation?