There isn't any reason to talk about being furry, or any other
hobby you have an interest in. Instead I would suggest finding
people with the same interests by going to conventions and
other places where you can learn more. That's one nice thing
about the internet. It's easy to find others with the same
interests.
The furry fandom being what it is often requires explantions to
to convince others your not strange, but have an honest interest
in art, and stories of fantasy. So it's best to avoid public displays
by yourself. These days individuals in costume are often looked at
with suspicion. Especially if they are alone.