Subject-matter expertise aside, what do I need to know in order to tutor college students?

I’m looking ahead to having some free time, and I am thinking of using my subject-matter knowledge in a teaching capacity by taking on a small number of tutoring clients. My professional role all along has had a teaching and coaching aspect, so I am not new to that, but I have never been a classroom teacher. I presume I would also be working from the student’s own lessons and course materials. What else would I need to know? What other considerations should I have in mind?

And—any idea about going rates?