Xenon - For bachelors, i'd suggest that you apply to Mannes College of Music. Actually, I'd suggest that you apply to all of the schools, but in my mind Mannes seems to be the best school right now. I've studied at both Mannes and Juilliard, and I know the Manhatten curriculum quite well. Manhatten is a lesser version of Juilliard, while Juilliard is not well-organized at all. Unless you have a teacher that you really want to study with at Juilliard, who doesn't teach anywhere else, Mannes is probably the way to go.
Hmoll - Juilliard's reputation as a good school comes from the people that are long dead. Great reputation results from great faculty, and the ones that built that reputation has been dead for many years now - Josef and Rosina Lhevinne, Adele Marcus, just to name a few. Even Dorothy Delay is dead, and she was the last of that generation.