Welcome!
I think you can work homeschool with any schedule, but if you are able to choose your own work schedule I would try to plan around when you think your children will work best. As for the in home daycare, I'm considering it but haven't yet, but how hard it will be would probably partially depend on the ages of the kids you care for. Young children will nap, and you could use that time to teach. Older children will probably only be there afterschool, so you could teach in the mornings.
I'm sure someone else will be able to give you more advice