The requirements for teaching preschool out of a private residence would follow the regulations of the Department of Health Services (DHS) Office of Childcare Licensure. The DHS website is: http://www.azdhs.gov/als/childcare/index.htm
The Arizona Department of Education has oversight of State and Federally funded school-based programs within districts and charters. Private preschools and other childcare programs are regulated by DHS.
Although the Arizona Department of Education does not provide oversight of private preschool programs, there are many resources for individuals working in the early care and education field available on the Early Childhood Education webpage. Those resources include: