Stray Cats
Adopt that cat as a pet at home & groom it so that it stops being a stray cat and gradually becomes a domesticated house cat. In this way you can keep it clean and your family wont mind having it at home. Watch Cat videos to learn how to groom a stray cat, how to keep it clean & how to teach the cat so that it can keep itself clean and have clean habits. Get educated and awareness about how to domesticate a stray cat. Everything is available on Google & YouTube. Best of Luck!