Moving to New York City with THREE BIG DOGS!!!???

Hello. We are being relocated from Malibu, CA to NYC because of my husband's job. I was just there this past week looking at rentals. I saw a few, and tend to really like a couple of places in Battery Park City, namely the Visionaire. The area seems to be very kid and dog friendly. But they will only take two dogs. THANKFULLY they did specify sizes or breeds, but that still leaves me short one dog! that being said, has anyone ever been able to negotiate and/or "pay" for the allowance of the third dog? are there rental places that allow that third dog? any with amenities? i am finding i LOVE the amenities :-) thank you.