Night nannies typically don't do housework and can run fromn$15+ depending on experience, number of infants, advance skills and training, and if you use an agency.
Day nannies the same thing .
How do you define light housekeeping?
Baby laundry, washing bottles, and tidying after baby shouldn't cost extra as its part of nanny work.
Now if you are looking for a nanny with a degree, years and years of experience, who will cook meals for the adults, run errands etc it will be more.
Anywhere from $15 to $20 is normal there are those that pay more, and you can find great nannies for under $15.
Also keep in mind taxes and for a day nanny room for raises.
Good luck.