Brooklyn Hospital Recs?

My DH and I are expecting our first child in October, and we'll be moving to Brooklyn Heights in April. Right now, I'm seeing an OB who is affiliated with Mount Sinai, but I don't know if it's a good idea to have to travel up to the UES if I'm in labor, especially since we don't have a car. Can anyone recommend a good hospital in Brooklyn to deliver at, so that I can weigh my options?