Google Placement Solutions. They are who I go through (there are others). But they are an "approved Centrelink child care provider" or whatever, so CCB, CCR and JET can all be claimed (JET pending inhome care approval). You can't claim CCB/R for an au pair though.
If you hire nanny privately, you won't be able to claim. I have heard that individual nannies *can* become "approved child care providers for Centrelink purposes" but am yet to come across any, as the hassle is too prohibitive it seems. But you can claim for FDC too... They must be "approved" carers - not "registered" carers I believe is the distinction made by Centrelink.