Octavius

Can you guess what Octavius is?

Gentle breezes sweep through my hair,
As we fly together through the air.

Better transport cannot be found,
When my friend Octavius is around.

Strong, majestic, even regal,
Strength of lion, wing of eagle,

He has wings and a beak and he purrs,
Don't you wish such a creature was yours?

Neither lion nor bird is he.
Octavius is truly a wonder you see.

These creatures choose whom they will,
But they only choose one, so he's mine still.

(What is he?)