Day Care centers in my state

I have looked in the phone book, and even talked to people to find some just by word of mouth.  Who would think that a search for a daycare centers in my state might be a bit difficult.  I may be too picky, or just having trouble letting unknown people watch my only child.  I would prefer not so many other young children, or unknown people be around my overly friendly child, though, since I would hate for him to get too sick too often.  His doctor seems relieved that each time he has a check up, we still tell him that our son is not in day care, at least not yet, since, if he was we would have to get him more shots than he gets currently.