The only advice I'd give is, really look into those neighborhoods that you're seeing the $1K rental prices. New York is generally one of the more expensive cities in the world, so if you see places that are extremely affordable, there's usually a good reason. Either it's a rough neighborhood or it's really hard to get around due to poor transit options.
Just as an example, my friend owns a townhouse in Bedford-Stuyvesant in Brooklyn, which used to be a pretty rough area but has now been gentrified somewhat. His place is decent, but ultimately the neighborhood is still a pretty high crime area for NYC and probably equivalent to the worst areas of Vancouver. And when he moved out for a couple of years to take care of his parents during the pandemic, he was able to rent his place out for about $9K/month. And studio apartments in that neighborhood go for about $3K/month.
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