Get some bread, go to the park, put your video camera down on the ground and start to toss some bread in front of it.

Rent Disney's Alladin.

Legs & body squash with anticipation of raised wings on the bottom of the squash, quick push off and lowered wings at top of stretch. Repeat wing cycle with legs folding and tail spreading, twisting opposite to body flex. 

Think in terms of multiple camera angles: close shot for takeoff, wider shot for first leg of flight, widest shot for circling and leaving frame. That way you'll have more flexibility in how you handle the background vs. the parrot & any foreground objects. Remember a bird flying in place with the background being animated will be visually the same as a fixed background and moving bird which will be much harder to get right.

HTH

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