I used to find it interesting to tell other about furries. But like every furry has a different definition of what the fandom/sub-culture is, the people you're going to talk to will have random reactions. I don't know how to handle replies, especially not knowing if they're positive or negative.
I choose to let it be. I love anthropological characters, I wear t-shirts or tail accessories as a way of showing that interest to other people, and let them guess by themselves. If people want to know more about it, then they'll ask me what it means, and I'll say I'm either close to the fandom or say it's a lucky charm depending on their reaction. I find it pointless to go telling people or your friends you're a furry, even worse making it look like it's something life changing, when in fact it's just an interest. I find it to complicated to explain to other what is furry, so I don't.