This is the story.
I have cats, four cats, and as I'm sure you know, cats reproduce.
What we do in my family (and have been doing it since always) is keep the kittens until they are big enough to give away, then we search for nice houses and owners and just give them as gifts. This means that occasionally there will be little furballs waltzing around my house, and I get to take pictures.
It's a hard task 'cause the little critters won't stop moving, but it's pretty fun, and "awww" worthy.