My wife and I have three wonderful children, ages 5, 7 and 8. I have been mostly a stay-at-home dad for the past few years, while my wife has worked. I now have an opportunity to work at least part-time, possibly more, so we need someone to help with the kids to free me up to do that.
The work I'm doing would be from home, usually with a flexible schedule, so to some degree we could work with your schedule on those hours. Additionally, my wife and I would love a few date nights, so as soon as a babysitter was ready to handle it, there would be some work with all three in the evening. My wife works shift work on random days, so this wouldn't necessarily be on weekends.
I'm seeing this as probably a part-time job at first, but if you're great, and everybody's happy, it could easily expand to more hours.