It's very cool, I guess he recognizes you.

Yes, of course. She recognize me. She "welcome" me, when I arrive home by various sounds, and constantly watching me (following me with her head, if she is in her box).

How long does the definite fur come out of it?

She does not have fur. She have feathers. And she replace it every year.

And how long did you pay for it?

Approximately $560.54 USD. This is more than my monthly income, but it was completely worth it. I do not have any regrets about buying my bird.