At $4k per kid you’re looking at $48k a year, could probably hire a nanny at that point if you have two or split with another family.
And yes, nanny-shares are considered a "budget" option in the Bay Area, for when you can't afford a good preschool or can't get off the waitlist. Unfortunately the quality tends to be more variable...I've heard some horror stories about irresponsible nannies. There isn't a vetting & licensing process the way that there is for institutional childcare.