BoogieDowner has never seen a rent this low for a three bedroom (and we look at a hell of a lot of listings everyday). Yes, the pics are depressing; yes, there is no elevator; yes, the hood leaves a bit to be desired...BUT the rent would be less than $400/person as share.
A few months back this Crotona Park hood actually had a "Living In" piece in the Times. Crotona Park is actually pretty cool. It has its own lake and pro tennis tournament every summer. Seriously, I am not joking here; it's called the GHI Tennis Classic. Crotona Park happens to be the biggest park in the Bronx south of Fordham Road, and it would be right in your backyard.
Transportation would be plentiful and varied with the 2 and 5 trains at 174th, and the 6 train at the Whitlock Avenue Station.