Once I met another furry at a hookah lounge, and simultaneously found out my best friend liked furry art, it suddenly felt less strange to be a furry. After that I would just put furry art as my background on my phone, and when someone asked about it, I'd just casually be like 'oh yeah its a thing I'm into.' I treated it as just another hobby or fun fact about it. I found the less I acted like it was a big deal, the better the reaction was. My worst reaction was "I know someone that likes that stuff, but to me its just like meh, I don't really get it." It hasn't changed anyone's opinion of me.