Normally I'd suggest own up to it, but thirteen years old and fringe sexual interests (furry).. You're probably going to be seeing a therapist until your parents are convinced there's nothing wrong with you. Doesn't really help that homosexuality's already seen by many as deviancy, but it's likely the least of worrisome thing in this case.
Fact is, minor accessing 'adult' material stands a real chance of putting your parents in trouble far more than you. I doubt it'd be much of a consolation, but arguing that rather than being interested in the sexual assault, degradation, privacy violation, or worse stuff you're only interested in the consentual (if not eyebrow-raising) stuff is small consolation, if only to yourself. On second thought, acknowledging the existence of it could work against you.
Best just to own up to who you are, denial never helps, especially as long-term evidence would eventually just prove hyporcrisy. Being closeted and trying to play the lie and denial cards only builds up the level of infuriation and feelings of betrayal, if the studies I've read on when people come out holds any merit. Besides, doesn't help a person's self esteem to be liked as a lie instead of accepted for who they actually are.