BRING FLATS. I did, and it was the best decision I ever made. You do a LOT of walking.
Also, since interviewing there, I have heard a lot of people say it's cutthroat/competitive there. I didn't get that at all, and in fact students said that the opposite was true. (Though I suppose they would have to, during a tour.) Just, take those criticisms with a grain of salt? Maybe they're not true.