For California: FIDM (Fashion Insitute of Design Merchandising)
For New York: Parsons School of Design, FIT (Fashion Insitute of Technology)
Personally, I went to FIDM, but I think if you want to go to a big city and you have enough financial support, you should choose Parsons.
Although FIT is cheaper (because its a public college), Parsons has lots of the greatest alumni, like Marc Jacobs, Donna Karen and Isaac Mizrahi. But the only thing is Parsons doesn't offer any Cosmestic Division.
With FIDM in California, only the third year of Visual Communication Major will offer the Cosmestic classes, and you have to pay extra for the third year, but with the supplies you get from the school, you will think its worth it.