What to do?

So my friend told me that someone she works with has a cat that just had kittens, and asked if I wanted one. I decided I am ready for another cat, so I asked her some more info. Here is the scoop:

This guy has multiple outdoor cats that are not spayed/neutered and they "just keep getting pregnant" (DUH!) She previously got a kitten from him from another litter at 7 weeks. I told her that is way too young to take them from their mother, and she said that he just doesn't know what to do with all of them. What I would love to do is to take the mom along with the babies, and foster them until I can find good homes for them, and get the mom spayed. The problem is, I live in an apartment and do not have the space to take on such a task.

How can I convince this guy to keep the kittens longer?? I am going to search around for some rescues in the area, maybe one of them will be willing to help. Any ideas would be appreciated, I have never really had to deal with a situation like this and I don't want to just ignore it.