Depends if someone is coming to your home (which is a nanny) or you are taking child to someone else's home where the person is watching other children. That is in home day care, technically I guess.
For a nanny, you pay hourly - for sure. I did it for over 3 year and was paid $16/hr. outside of the city for two boys, older than toddlers, attending preschools and activities, etc. I was paid pretty well, I've heard other nannies making as little as $10/hr though, too. It depends on lots of factors I guess.
For in home day care in the area, for a full day - runs between $30-60/day from what I know, depending on experience, how many other kids, etc.
$3/hr? Are you kidding me? Who in their right mind would work for that? That is insane. Taking care of children is HARD work, especially when you are doing it right.