Quite private for me here. I would have chosen completely private, but I wear a collar in public with my fursona's name on the tag.. only if I'm with friends who know I'm a furry/are furries (yeah, two of my irl friends are furs. It's fairly awesome). When I'm on the computer at home, however, I always make sure to clear my history when I'm done with the computer, despite the fact that I'm the only one who uses it. My user area is password protected, there's a guest account for anybody who really needs to use the computer aswell. Oh, and whenever I leave the room, I always... ALWAYS lock the computer and turn the screen off. Plus my door is locked when I'm in here, along with a door stop to make sure nobody can barge on in. And if anybody comes in, the computer is locked.
Even if I don't have anything furry on the screen. I'm extreme when it comes to computer privacy. Nobody uses my user area because I have some yiff art in it.. and if I go to the bathroom and they stumble upon it.. well.. yeah. So basically I'll only make it apparent that I'm a furry if I'm with other furries in person..