I had a young woman come every day for a couple of hours to "be there" when DD got home from school and to do some housework.
Looked for a housekeeper who wouldn't mind keeping an eye on DD (aged 10 then), but kind of ended up with a child carer who did the housekeeping as an aside.
She ended up not being too "keen" on the housework end of things, but if it helps, this is what she was supposed to do.
Daily basis: Tidy up, load/ unload dishwasher, do DD's washing and ironing as needed and do our ironing as needed.
One a week she came a couple of hours earlier and did a clean through the house. Dusting/ vac/ wash floors/ bathrooms etc.
The idea was that she was to do any "additional" jobs like say, skirting boards once in a while during one of the days she was there, but we ended up paying extra to do this as she liked to sit and do stuff with DD...
Anyway - would just have an idea of what you'd like done on a daily/ weekly/ monthly basis and check that the person is willing to do all that in the time you've allocated. That kind of thing.
You don't want someone who will get stroppy when you ask them to clean the oven, simply becuase you hadn't mentioned it.
The main thing I would look for is someone who is a self starter and will just know when the skirtings need to be done instead of you having to ask. The idea of a "daily" is that they'll be able to take over the cleaning from you and not keep needing lists of things.
HTH.