When you get to Cuckoo Condor, stop by the Item Shop and pick up the Big Fist. When the Big Fist is used, Cuckoo Condor should have just a little life remaining. When he shoots the shock wave or the saw, jump over them and stand under the claw for a split-second, then run away. The claw will reach down, trying to grab you. When it reaches down, hit it. It will swing up and hit him in the head. When the bird breaks out of the clock, it will shoot eggs. If you catch one, hold it. When they break, small ducks will appear. Do not touch the ducks -- they will hurt you. Keep the egg and when the bird returns (he has to face you), jump up and hit him on the top of his head with the egg.