Well, I have been roleplaying as a furry for 15 years, and I've played as numerous different species. Let me tell you what my experience has been.
No matter how many different species I played, I kept seeing more and more "ferret-like" qualities in them, even when I wasn't even thinking overtly about playing a ferret. Eventually, whenever I would play a "gryphon-like" character, the hinder parts and often even the fore-paws would be those of a ferret. Whenever I would play a "dragon-like" character, I would go for increasingly "slinky" and "ferretty" body types, eventually fur and other wistful things.
However, anytime I played as a ferret, specifically a "non-anthropomorphic" ferret, I realized over time that I just felt "normal." It felt almost unextraordinary to think that someday I'd wake up and realize that I had really always had a four-legged and furry body, and I had just been dreaming that I was human. I picture myself laughing lightly at how silly such a dream is before padding up to my feeding tray to get my breakfast. Maybe my family has left my cage door open, which would mean that I've been behaving myself lately, and maybe I'll spend a lazy afternoon snuggling in the lap of the little towheaded boy who had wanted me as his present for getting good marks. Maybe he'll want to throw things for me to chase for a while first, so I won't be so antsy. A ferret is just what I am, deep down, and I sometimes wake up wondering, have I finally snapped out of this strange dream of being a human? It took me a long time to fully realize that.
It often takes a lot of time to make peace with who you are, as a furry. It takes a lot of experimenting, and some people never really settle on one species. Some people just change species on a whim. Others know what they are right away, and you couldn't persuade them to play as a different species at gunpoint. Each of us is a little different.
So it's normal for you to migrate for a while before settling on something permanent. That makes you average. Maybe there is something deep in you that is a certain animal. Maybe not. If there is, though, it will call out to you. Just give it time.
What sort of avian were you thinking about playing?