Yes, there are furry conventions. http://www.dmoz.org/Society/People/Furry/Conventions/
Tons of them. http://www.fur.com/furry/con.html
Anthrocon had over 2800 attendees this year, FurtherConfusion also still had 2500+. I've been to both and it was great fun to meet so many people. And I counted 17 from Faibanx MUCK alone at Anthrocon. So... we sort of have gathering places already.
And, also with such high amounts of people, it is hardly anything THAT secret. In fact I found the whole furry thing has become rather frighteningly wide-spread recently. It is haunting me in my RL.
Actually the furry thing is quite well 'known' though little understood, I found it is without any problems and at most curiosity accepted by those who deal with them in person though gets a lot of bad press otherwise. Common themes include: furries all thinking they are animals, furries all wearing fursuits, furries all trying to look like animals through surgery, furries all only having wild sex orgies and calling it yiffing, furries all being non-heterosexual, and any combination of that. The CSI episode ('the furry rival'?) and some reports of furry cons and interveiws with of course rather special and thus audience-effective individual furries didnt help.
As to 'being a furry'...
Well I certainly am. Though the definition is fuzzy and actually non-existant, and many otherkin claim they are not furry at all, to me furry is the wide field it all falls into, and furry is as furry does.
( my view of furriness in a nutshell: http://www.lavadomefive.com/forums/shwmessage.aspx?forumid=3&messageid=10054 )
At any rate, one should likely ask oneself:
If someone has a strong affection to animal characters, likes furry art, likes furry stories, maybe even creates such, goes to furry places on the web, hangs out with furries, goes to furry cons, and is NOT a furry, then who the fuck is supposed to BE a furry then?