Our strategy for Angry Birds Star Wars II Master Your Destiny Level BM-24 (Bird Side) is to use a bird with a laser beam. Send him at the base of the first structure, and aim his beam so that it hits both tnts. The score in the video below is 149,190.
If you have a different strategy feel free to leave a comment below; however, don't just post your score via the comments, as that's what the leaderboards are for.