Host family in America!

Hey I’m Anja and i think about doing a workplacement/internship (don’t know what it’s called) in New York and I wanted to live with a host family during 6 months. In return I could offer for example private tutoring in math or german/spanish/polish language.

Is it possible to handel it right that.
I can live at a host family and give the children (for example 10 hours per week) private coaching.

Greets,
Anja