The first movement trick is fairly simple: If you enter the Base Panel, and leave, you can move whatever your move is from the Base Panel. This can be used in some situations to expand movement range.
The second, however, is a bit more complex: Equip some move-increasing items, move, and re-equip what you had before prior to attacking. With the Warp Engine, you can use this to give effectively infinite Move to all your characters! This is very useful for setting up multi-miracles.
This is available in the PAL version of the game.
Once unlocked, it will show up to the left of New Baal Castle on the map.