I do a little daycare in my home, I am not licensed so I need to follow rules on how many kids I can take and such, but I actually prefer parttimers, cause then I can still go do the things I want or need to do. I would try finding a SAHM that would be willing to do it. Your kids will have someone else to play with and a mom will be able to earn a little extra money. I charge a daily rate, so it goes by how long the kids are here and on what days. Many providers will charge the full time rate because how they see it is they are doing you a favor. They could very easily drop your child and find one that is full time. It's harsh, but that is how many of them look at it. I do back up care for another provider and she does have a part time rate, but the ratio of dollars to hours is higher than the full time rate (does that make sense???), because it is a huge hassle to keep track of which kids are coming what days, getting kids ready for buses, timing nap time so that the kids that need to go early will be up etc etc etc. I really don't know how they do it!!! I plan to become licensed, but right now I can't becuase I'm living in an apt, so I take the part timers.
So in my long rambling sort of way, I would try to find a SAHM, maybe put an ad in the paper? There are providers that will take part timers, but they are few and far between. Many have a limit on how many part timers they will take, so even if they have an opening they may not take your child cause they want a full time child.
coffee-drinking social worker in HIV/AIDS lady-loving bike-riding mom of two