Here is info for Manhattan:
I recommend searching senior housing as there are many options available for over 65 (and you mentioned you are 71!)
Here is a Rent Calculator for Section 8 housing in NYC:
You will be responsible for paying approximately 30% of your adjusted household income toward rent, 10% of your gross income, or $50 (whichever is greater) and HPD will pay the remainder of the rent directly to the landlord, up to program limits, or "payment standards." If you choose to lease a unit with a higher rent than the payment standard, you will be responsible for paying the difference between the payment standard and the rent. However, HPD will not approve an apartment for which your total payment is higher than 40% of your income.
Example 1: You live in a 2-person household. Your income is $1,000 per month and the rent on your one-bedroom apartment is $1,305, which is also the maximum subsidy HPD will pay for a one-bedroom apartment. You will pay $300 per month (30% of your $1,000 monthly income) toward the rent, and HPD will pay your landlord $1,005 (the $1,305 rent minus your $300 tenant share).
Example 2: You live in a 2-person household. Your income is $1,000 per month and the rent on your one-bedroom apartment is $1,400. HPD will still pay your landlord $1,005, but you will pay $395 ($300 for your regular 30% share, plus $95 for the difference between the $1,400 rent and the $1,305 payment standard). Because $395 is still less than 40% of your $1,000 monthly in-come, it qualifies as an acceptable tenant share.
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