My 22 month old daughter goes to an in-home daycare 2 days a week, and we have a sitter that comes to our house 1 day a week. The other 2 days, I work from home. We love this arrangement.
We contacted the state of Illinois, where we live, for a list of licensed in-home daycare providers in our area. Then we interviewed a bunch of them. We went with this one because it was unique -- the woman who runs it owns a three flat; she lives on the first floor and has the daycare on the second floor, with her adult son living on the third floor. She runs the place a bit more like a regular day care center -- lots of rules and predictable patterns. It's just a delightful place. She has a few part-time kids, and her only caveat to our arrangement was that our two days had to be consecutive, so that dd would have an easier time adjusting to the routine each week. We've been there almost a year now. It's pricey ($60/day) but we love the care she's getting.
Our one-day-a-week babysitter is also a unique arrangement. He's a 70-year-old Romanian immigrant (here about 12 years) who had been babysitting for our cousin's children since the oldest was born (9 years ago). They found him because his wife was the nanny for their neighbors. His wife passed away a few years ago, and when our daughter was born, we initially needed someone just one day a week after my family leave (dh went part-time until she was 1). So, our cousins suggested that this man might like a part-time babysitting job that he could count on every week. We pay him $8/hour, so it ends up being close to $80 a day. This is also worth it; I've never seen anyone more doting than this man. He takes her on walks in all weather, sings to her, couldn't care less about anyone other than her. His first words when he walks in on Thursdays are "How is Ronni?" It's like having an extra grandfather.
We just love this arrangement; DD gets the social interaction with other kids at her daycare, one-on-one attention from a loving provider at home, and then Mommy two days a week. It's a good life!