There are 5 facilities
Battle Tower: Just like in R/S/E/D/P. You can talk to the Pink Lady to pair up with your partner -Cheri,Buck,Mira,Marley, and Riley.- , or pait up with someone using DS wireless communications, and battle 7 times to earn BP.
You can talk to the Green Lady, and she will tell you to choose 3 pokemon for a single or double battle. If you talk to the blue lady, she will lead you to wi-fi to download a team, to let you battle.
Battle Hall: You can talk to the green lady who will tell you to choose, single battle - 1 pokemon - or double pokemon -2 of the same kind of pokemon-, and then, she will lead you inside where you can choose the type you want to battle. Beware, however because it could be a type you don't want.
ex. Entei choosing Ice pokemon but it is a water/ice.
If you talk to the pink lady, you will battle witha partner using DS wireless communications
Battle Factory- Same as in Emerald. Choose 3 pokemon battle. Single or Double.
Pink Lady is same as the rest
Battle Castle - You can talk to green lady for single or double battle. You beat pokemon up and earn CP to do stuff. Heal Pokemon/Lower Foe's pokemon Level/Raise it/ Rank Up
Pink = Same
Battle Arcade - Green - Single/Double. You see a board with choices.
Black = Your team, red = other team.
Some symbols include paralysis, poison, burn.
Pink = same