> hire a competent housekeeper/nanny
They would need similar support as well and it's a tower of nannies all the way down (it truly does take a village to raise a kid).
More critically, assuming that you need a housekeeper or nanny in a two parent working household is legitimately ridiculous. And I say this as a 1.5 gen immigrant with a sibling who was raised in a 2 bedroom apartment in the Bay Area while both parents were working with a total household income of around $140k in the 2000s (ie. upper middle class)
there's also other options - your own parents, and other new parents and their parents.
"it takes a village" is an old saying that isnt going anywhere