Is there a way to move around the games in our profile? I always get bugged not having every system in order, because it looks a bit messy.

Click the "View Whole Collection" option below your game collection and all your games will appear on a fresh page ordered first by system, then alphabetically. Below each game on this screen there is a "Prioritise on Profile" option. Click these below the games you want to appear on your profile. The order in which you click them is the order in which they'll appear.

Sweet, thanks.

Actually, ioi said that when you click the "prioritize" button it gives a sort of priority point to that game. So every time you click that on a certain game, it gives it more priority points. So if you click a game 3 times, it will have priority over a game you only click once or twice.