> Family day care home shall mean a program caring for children for more than three hours per day per child in which child day care is provided in a family home for three to six children.

From 413: https://www.ocfs.ny.gov/programs/childcare/regulations/413-D...

In general it usually refers to a family taking on a few extra kids vs a schoolroom/office taking on kids. Requirements are usually different for the family care ones, not necessarily less.