The main FDC scheme in metro SA is run by DECS. I live in the north eastern burbs and the Family Day Care office that I go through is in Felixstowe. Their phone number is 8366 8720. They will ask you where you live and depending on where that is, they will either have carers close to you or they will give you the phone number for the Office that covers your area.

There is also a list of FDC schemes here.