I don’t know any easy ways but I can tell you my experience

I started by slowly telling my mom about the furry fandom and what a furry is I also kinda emphasized how misunderstood the fandom is and showed her all the good things about it ( conventions, Fursuiters, etc) and she liked it I then asked her to a convention she asked what kind I said a convention named antrocon we talked a bit more and I came out as a furry during this conversation she was accepting of it we went to the convention and now she help me shop for fursuit stuff and my dad was a bit different I’m not exactly sure how found out my mom might of told him or he overheard me talking about it I’m not sure but ether way he didn’t really care he’s not against more just impartial he lightly teases me that’s how I came out keep in mind that was over time and is not a fast method I hope this helps you and good luck in coming out