Technique 1: Making it obvious.
You can come out without literally saying “I am a furry”. You can draw furry art, wear cat paws, leave furry sites open accidentally-on-purpose. This is how I did it. Wait for someone to ask if you are a furry. When they do, say yes, and now you are out of closet! I like to draw furry art a LOT. I never said the word “fursona”, however I have one character I always draw, that has a name and a personality. I own some cat paws I wear in a daily basis. I watch Sonic the Hedgehog and Zootopia so much. How could I not be a furry!
Technique 2: Use the word.
Use the word “furry”, but don’t say you are one. “Hey, want to see my FURRY art?” “Here’s my FURSONA.” “That FURSUIT is so cute!” Make a good image for furries so that people (particularly parents) know furries as fans of anthro characters, not the stereotypical furries. Then, when you say you are a furry, they will be more accepting!
Technique 3: Just say it.
Turn on furry YouTube on phone. Take a deep breath. “Mom, I think I’m a furry.” “What does that mean?” “These people.” (Shows video) “ They are fans of animals with human characteristics. They have conventions, and they make their own anthro characters, called fursonas.” Describe the bare minimum of what a furry is. Now they know, and they don’t know the stereotypes.
I hope this helps you come out,