there is a solotion but an expensive one. you can call one of the home care companies to provide you a baby sitter for 8 or 12 hourse, however they will only care for the baby and not doing any other work in the house.
thier prices range from 6000 - 12000 Qr per month.
this solotion is good as you can hire from them and not worry about any residancy issues.
the one i know is Qatar Care but they are fully occupied so you need to call them ahead of time to reserve.
hope that helps.