Check with local realty offices for available rentals, or work with an agent; check local print media for by owner rentals, always verify ownership before exchanging any money/personal information; word of mouth, etc.
I work at REMAX VOYAGE busides home sales we do rentals as well. Call me at (347) 904-1191. From your post I see that you are looking for a SAFE neigborhood. Call me I can help you look for a rental close to transportation.