For those uninitiated, a "furry" is someone who regularly dresses up in animal costumes (usually the same type of animal) for regular role-play in their life. Some furries create whole other alter-egos, some just collect a few furry accessories (a tail, ears, etc), some attend conferences and wear their regalia during intercourse. Others, keep a low profile online.
As with any community, identifying as a furry can mean a lot of different things.
But to the outside public, the main association with being a "furry" is the subset of participants who regularly role-play and wear costumes in the bedroom.