DP is keen for me to have some help when he goes away on business - we have two DS's, one 3 year old and one 4 week old. DP goes away at least one night a week, if not two, but they're not always the same days iyswim.
DS1 is in nursery three days a week so we'd really want someone only on days DP goes away to help with nursery pick up, tea and bedtime, an extra pair of hands iyswim. Maybe some ironing as well. Unlikely to be in sole charge, certainly not of DS2, possibly occasionally of DS1, more helping me to get things done.
We'd want someone who didn't live in, to pay by the hour on an ad hoc basis (obviously if they weren't available on a particular day, then that's fine, we can't expect them to always be on call!)
We'd probably also use them for evening babysitting occasionally.
Does this sort of person exist, and how much would one pay them?