Best idea, don't treat it like it's bad to be a furry. Don't shout it out to the world, but don't try to hide it. Just treat it just like any other interest, because it's nothing more than that.
Shouting out how you're a furry will make people think you're looking for attention, and trying to keep it a secret will make it appear like it's a shameful, terrible interest.
It's as easy as saying you like to watch anime, or read and write comic books.
My interest is drawing and writing and/or watching and reading about anthropomorphic animals.
Simple as that.
Many people, including non-furs, like cartoon characters such as Mickey Mouse, Bugs Bunny, Garfield, and other popular anthropomorphs. I'm sure even anti-furs like them! What is so bad about liking those types of characters? NOTHING. What's so bad about making you own character based on an animal? NOTHING. That's what the creators did to create their cartoons.
I seriously doubt the people who made those cartoons are crazy yiffaholics and zoophiles.