The difference between neighborhoods has been talked about extensively, but I think it's also important to talk about facilities. Since I would be commuting to either school, I would be spending a significant amount of time in the library, and NYU's law library has a much better atmosphere in my opinion. It feels like a more welcoming place to study, while Columbia's library seems somewhat bleak and dreary to me. I feel like the difference in what job one would get after graduation is marginal, so I would pick NYU based on its location, nice facilities, and the general vibe I felt when I visited. I think it's really important to visit both to see which one fits you personally since they're both such great places -- it ultimately comes down to your personality and priorities.