Just play it cool...
Being a "Furry" doesn't define you as a whole, there are other traits to your personality, such as the case with everyone. I just simply enjoy being a furry, without fear of judgement. If someone asks if I'm a "Furry", or a "Brony", or a "Goth", I reply with "Well, I'm not much into labels, nor do I let any one aspect define who I am, but yeah I tend to paint with that brush/It's one of the many 'hats' I wear."
Growing up I enjoyed many furry culture aspects, from "Cats", to Zoobilee Zoo, many Disney movies, Star Fox...that's most likely the roots to my furry-ness, much like the Addams Family, Edgar Allen Poe Stories, the Ghastlycrumb Tinies and other Edward Gorey as well as Tim Burton style theming and behavior themed books, shows, aesthetics, and movies shaped my Goth tastes and persona (hell, I know I enjoy a lot of the old and new music of the scene), and I did enjoy My Little Pony in secret at first then openly later, including the latest "Friendship Is Magic" series...
But there are other pieces and bits to my personality, which is true of everyone. No one aspect defines any person, typically. So you need not be more open, like don't make it the first thing you tell people about yourself, just simply let them come to that conclusion on their own.
TL:DR don't hide it, but don't advertise it...be subtle, and don't let it [exclusively] define who you are.
Good luck!