Do you pay a home-care aide overtime for work on Sundays or holidays? If so, how much?

Depends on the contract you have with them and what was agreed upfront.

We get time x 1.5 for Sundays if it IS overtime and we are not already scheduled to work. If it's an ordinary shift, we get our standard rate.

If scheduled to work on public holidays, we get either time off in lieu or time x 1.5. If we work overtime on public holidays, we get time x 2.

But our service runs 07:00-22:00, seven days a week, 365 days a year, and it's a bare-bones public sector organisation - so I certainly wouldn't try to get away with paying your aide(s) less! :)

Yes, they should receive time and half. Time and half for anything over 40 hrs. Check with your County labor board on how to pay Aides.