UPDATE: Tri-Parkway Cleaners has told us that in addition to clean clothing, they'll accept canned food, water, toiletries, diapers, and dog food. They don't have space for large items, like furniture.
Tri-Parkway Cleaners
3115 Fort Hamilton Parkway, between McDonald Avenue and E. 2nd Street
Windsor Terrace/Kensington
(718) 438-7380