I've been the seperated parent that takes their kid to a home daycare, but I'm yet to have seperated parents as clients.

If I were you I would want to consider who the primary residence parent is and then make sure it's clear that that is the parent you will have the most contact with. That's also that parent you will expect payment from.

I always made sure that I was the only point of contact for my provider when I was seperated. And the few times that I did let my ex drop off or pick up he was almost always late! Thank goodness I had an understanding provider.

I would probably also ask for a copy of the custody order just in case anything comes up and you need to enforce it.