Pros
Helpful orientation & training for any content or strategies you're unfamiliar with. Very kind and considerate supervisors who support you, the tutor, before demanding parents. Many admins are/were once tutors so they understand the struggles and have just about seen it all. Can work with some really nice, dedicated kids who continue to work hard even through difficult material. *This is most likely to be the case with students preparing for standardized tests.* Working with a great family totally makes the experience. Relaxed part-time schedule good for near-full-time income if you have the open schedule, or just some additional income if you don't.
Cons
Families can be demanding. This is definitely not a knock on the company; just as a tutoring service, you're bound to encounter parents who become frustrated/impatient if their student isn't improving as quickly as they would like. I recommend establishing early on that YOU are the professional and YOU know how to improve student success.