I've just started cooking and am in need of a good Asian grocer that sells ingredients and vegetables and meat/fish for all kinds of Asian cuisine. Particularly Pilipino food, as I am trying out my mother's recipes, and Chinese. I know Chinatown is obvious, but where? And as for vegetables, I'm looking for a wide array of greens that I honestly can't even tell you the name of, but they're certainly not to be found on the streets of Chinatown, so if any Pilipinos can tell me where they get their veggies for sinigang and the like, let me know. Also, I am not down for Queens shopping because of time constraints. Manhattan is greatly preferred. Thank you!