Generally, any mouse press and release will count as a move. Specifically:
- Attaching a ball or balloon
- Detaching a ball or balloon
- Moving a block (one move per click, you can move it as much as you want during that click though)
- Shooting a "3d" ball
- Attaching Pokey or a sticky bomb
Using time-bugs does not decrease your move counter (but you'll still go back one move).
Things that don't count as moves:
- Throwing balls
- Catching balls