There's really no reason to "come out" for just an interest/hobby, it makes just as little sense as "coming out" about liking anime. It's not like being gay - I've talked to a few of my friends who are gay, and they say that dating someone who hasn't came out to their parents really sucks because you have to lie to them and say you're just a friend.
Liking cartoon animals isn't something that sucks if people don't know about.
The only reason I'd tell my parents is if I do something that makes them ask "why"; they've already seen some of my desktop backgrounds, and a fox pendant that I got, and didn't say anything about those, so the only things I can think of that would really make them ask are going to a convention (unlikely because of no money and no one to go with) and buying a fursuit (unlikely because of no money, no one to go with, and it's just way too much money for me to spend on something I don't even know if I'll like)