40 moves to free 6 birds. Start by focusing on the Golden Moving Blockers downwards. Because of the gravity, clearing the ones below will make the obstacles above drop down, thus releasing some spawning hooks. As always, our target is to move the birds to the very last rows where the keys can be found. The Golden Moving Blockers will of course block the over-reaching effects of striped gifts but they can pretty easily manipulated and destroyed with a match.
Focus on matches that will destroy a lot of blockers at once. Avoid leading the birds over remaining blockers at the bottom and 40 moves should be more than enough.