It started out by me having an unsupervised internet connection as a teenage boy and finding furry...art that I rather took a shine to. At the time I was kind of an edgy kid, so I fancied reading a satirical wiki called "encyclopedia dramatica" that I'm sure many of you are familiar with. I found the article on furries, read it and went "aw shit...that sounds like me x.x"
I would say that the turning point from just being into the smut and artwork and viewing it as this shameful niche interest that I had to hide from everybody lest they shun me forever to embracing the fandom fully as a community I belonged to and a major part of my identity was when I attended my furst furry con in early 2014, Further Confusion. A friend and online roleplay buddy insisted that I attend a convention because every furry needed the experience. I was dubious because I was afraid of being associated with furries in person and I couldn't afford it anyways, but then she told me that she'd buy my plane ticket, registration, and put me up in her hotel room without charging me anything. That offer was just way too good to pass up, so I went for it, and I got a taste of how wonderful, silly, fun, and kind the fandom could be. I got a taste of what it was like to not be perpetually ashamed of myself and to be free to act as silly and fruity as I liked, because for the first time in my life I was surrounded with people that were just like me. I barely slept, I partied super hard, I kissed my first boy, I walked around so much I got blisters on my feet, I made friends that I speak to and visit to this very day, and it was so good I cried on the entire bus-ride and half the plane ride home because I didn't want it to be over. After all of that, it was pretty hard to go back to the detached irony and vague disdain that I used to treat the rest of the furry community with. They had won my heart over and I can say with confidence that that con changed me for the better and I will never ever forget what the fandom and the people in it have done for me.
Hah, this turned into kind of a rambling post didn't it? I'm sorry about that fuzzbutts uwu