<human>: Can you condense the text into a few key points?

The other night my roommate noticed some meowing coming from our radiator and realized that there was a litter of kittens living in the wall of our basement. Because our building is a piece of shit and our landlord is also a piece of shit, the wall has black mold growing on it. Yesterday, after my girlfriend and I got home from work, she went into the backyard to look for the kittens' mother, whom she found immediately and brought inside. Once downstairs, the mother meowed once and all four kittens, not much more than a week old, stumbled out one-by-one. They all seem to be healthy and nursing and are currently hanging out as a family in our bathroom. We can take care of them for a week or so at most because we're moving at the end of the month. What should I do with them? Will shelters take kittens and a mother together or do the kittens have to be orphaned? Does someone want to adopt 5 cats? Give me your advices. I'm in Bushwick, Brooklyn.
<bot>: found a litter of kittens, found the mom, they seem to be healthy, how do I get rid of them?