Movers usually appear later in the game, and look like small round orange dots. Their appearance in battle often causes a lot of relief for the player, as they are usually not very powerful, but give tons of AP/Magic Points. They can gang up for a petrifying Delta Attack (reminiscent of Chrono Trigger's skill of the same name) as long all three are still on the battlefield.
-Speck (NA) / Bit (JP)
In this case, Movers are much more powerful than usual, with extremely high defense, speed, and some powerful spells. They still give a whole lot of SP.