Most rental contracts cover price and dates and stop there. The clauses that protect you are the ones about site conditions, access, permits, damage and who has authority to stop the job.
Several states regulate inflatables as amusement devices, requiring registration, inspection or certification. What that means, what inspectors look for, and why it affects your insurance.
What general liability actually covers, why your equipment is not included, the difference between a certificate holder and an additional insured, and the inflatable exclusion that catches operators out.