Summer nanny jobs in NYC

I just moved to the city and I’m a full-time nanny. I noticed a lot of families who have nannies go to the Hamptons for summer, and will either bring their nanny with them, or label their nanny job as a “temp job” September-June, so they go to the Hamptons without a nanny. What’s the demand for summer nannies in NYC? With kids out of school, how many parents stay in NYC and need someone to watch the kids over summer? Thank you!