Dan-o,
Great question. As you know, the NYC housing market is a beast, especially with the new listings in the market completely out of range for the majority of recent comers to the city. With that, qualifications for low-income housing are very strict and require great time, effort, and patience. This, however, should not dissuade you from trying.
My recommendations would be to peruse the following sites:
http://home.nyc.gov/html/housinginfo/html/home/home.shtml
In addition, there is the Mitchell Lama program which offers limited equity ownership and also subsidized rentals. Contact HPD, NYC Housing preservation and development, although there are lotteries and waiting lists up to 10 years.
http://www.nyc.gov/html/hpd/html/apartment/lotteries.shtml - Mon Jul 30 2007, 10:07