What’s the difference between general liability and professional liability here?

Abuse and molestation coverage, which is typically an endorsement and often sublimited or excluded. Any program working with minors should confirm it in writing before the first session.

Yes, and the facility will require it. Most gyms ask for proof of liability coverage naming them as additional insured before allowing an outside trainer on the floor.

Equipment breakdown covers mechanical and electrical failure and the income lost while the floor is short of equipment. A standard property policy covers fire and theft, not the way cardio [...]