OP needs to be aware that if the babysitter isn’t compensated, they can make a wage claim - even if it’s a verbal under-the-table transaction.
Check the laws in your state. In CA, the law specifies how babysitters are to be paid (not the rate, but double time etc.). I’ve worked with wage claims and they’re not pretty. Especially considering most of the babysitters I work with earn $300K/year and more (many near $1M). And they’re not live in, get to fly on private jets, eat gourmet meals at the top restaurants, stay in the best hotels, etc.