I don't currently live in NYC (I'm in RI) but I am looking for a full-time, live-in position in NYC starting in June when my current position will be ending. I am working with a couple of agencies and from what I have been told/seen from job postings is that $20/hr+ will be the norm for your experience IF you work with an agency. I have 8 years of full-time experience, don't have a BA (I have an associates) and I only speak English and I will be interviewing for a couple of positions coming up that are high end positions and pay. One if $65k/year, another is $80k/year and the third one is $25/hr with over time.
Some agencies to look into are: The Wellington Agency, Greenhouse Staffing and British American Household Staffing. Good luck!