Heroes in order of first use: Hero → Thief. Pieces that end up somewhere new: the crystal. 1 other piece stays where it starts.
Hint 2
Start: pull the bottom left crystal up, pull the bottom left crystal right 3 tiles and move the bottom left crystal right.
Hint 3
Finish: move the bottom left crystal down 2 tiles, pull the bottom left crystal right and move the bottom left crystal up 3 tiles, then head for the exit.