Home prices in Paterson run 17% below the national median: $350,000 versus $420,000. Relative to the $52,000 median household income here, the price-to-income ratio comes out to 6.7x.
Paterson's 2.33% property tax rate runs above the 1.1% national average. That's $680/month on the median home here, not a rounding error against the mortgage payment.
New Jersey levies a state income tax on top of the $2,650/month this mortgage runs. Model your real after-tax take-home before deciding how much payment you can carry.
Paterson's cost of living index is 120, above the 100 national baseline. That's on top of the housing numbers above, not instead of them.
Paterson's median home price runs 16% lower than nearby Newark: $415,000 there versus $350,000 here.