Babcat visits my backyard! (or to stay?)

Bobcat in my backyard!! Angela and I were working in our little field in the backyard this afternoon. All of a sudden I spotted a "big cat" sneaking away. I realized later it was a bobcat living in my backyard. I found "his place" under the tree and lots of bird feathers showing its success in hunting. I cleaned up the bush so it can't hide no more. Any comments on how to deal with a bobcat who wants to stay?