We also have a child that gets upset if he doesn't have "his" time. At the same time he wants to do EVERYTHING. Like one of the other posters, we limit him to one physical activity and 1 musical activity at a time. This seems to allow him time for himself, time for homework and time for practice.
Over the years, he has earned a Black belt in karate, taken tennis, swimming and played soccer. I have taught him piano to some extent. He can read music and has a great ear. At his request, he is now taking drum lessons and continuing with piano as time permits.
He really wants to go back to karate but we dont' have a school nearby that I like right now that meets our schedule needs.
I think it is great that you have so many options available to you in NYC
