I think adopting a kitten is a wonderful idea! However, as I've experienced in the last thee months of having one, it's definitely hard work keeping up with and cleaning up after him. (He is a domestic long hair. To be precise, a ragdoll! Tracks everywhere, makes our small apartment smell bad...)
Have you ever considered fostering kittens? I think under your circumstances this would be an extremely fitting thing to try out! I don't know if you are aware (and I apologize if you are) but most shelters put down kittens they receive if they are 8 weeks old or younger. There are some great videos about fostering kittens on Youtube. This is a great channel for learning about kitten fostering: https://www.youtube.com/kittenlady Also, her videos are adorable. Definitely fun to watch, as well!
If I had the time, I'd absolutely foster kittens. It'd be like what I do at work- only the babies are tinier and fuzzy.