I both found about furries and considered myself as one at the age of 13, but the experience went bitter quickly and I eventually brushed it off at a phase. Remaining as a lurker for the following years and having certain things make me consider "woah, maybe you are a furry?" led me to rejoin the community at my current age, 19! I even created a fursona for myself this time, and I'd like to think that now I've finally come to terms with this fact.
My initial issue with the fandom was that while I've always admired certain aspects of it, there were many others that I didn't identify with at all (which seemed a little more central to the fandom than those aspects I personally enjoyed) and I just felt like maybe this wasn't the thing for me. Nowadays I still tread across that border, but I like to think that my people are part of this fandom too, it's really just a matter of not giving up hope and appreciating the wonderful things the community is capable of creating!