I'm a nanny.
when I've had little ones I'd use their nap time to potter around doing things like ironing the kids clothes, hoovering, sorting out the other kids rooms/wardrobes, toy boxes, empty bins to outside bins and sometimes I'd just watch TV, read a book in the garden, whatever.
when the babies/toddlers were awake I'd sort out the dishwasher, laundry, prep their next meal, change their & siblings beds etc. All things they could watch me do &/or 'help' with.
I'm very much a nanny who is like a SAHM, I take each day as it comes and do what I'd do if they were my kids, in my house.
Except, I don't cook 'family meals' or for the adults at all (I hate the pressure), I make this clear up front. But I do leave the kitchen immaculate & the dishwasher empty. I batch cook for the kids & I'm happy if they use those meals at the weekend.
I'm more than happy to help out picking stuff up from the post office/dry cleaners or running a grandparent (living locally) to the Drs or friends etc. I've even collected visitors from the airport, that kind of thing and I can be very flexible re hours etc
I'm very up front about the way I work, if they don't like it, they can feel free to employ someone else. No way will I be micro managed.
The key is employing an actual adult and having some respect!