Honestly, I usually just pick stray chin poo up with my bare hands. It's so dry and non-gross, it doesn't both me (though I do wash my hands afterwards). I don't bother to wipe down afterwards. I think so long as you wash/change your sheets every week or so, you don't need to wash them after every contact with chin poo. At least, I wouldn't. But I think a lot of it just depends on your comfort level. If the thought of the poo having been on the sheets bothers you, then wash/change them, but nothing bad will happen if you don't.
I find chin poo in all kinds of places throughout my house (I think it sometimes gets tracked around by the cats). I usually just pick it up, throw it away, wash my hands, and forget about it, haha. I've dealt with a lot of different animal poo in my day, and chin poo is by far the least gross.