I use strong passwords generated by 1Password for everything.. except for iCloud. There I have an idiot password. Why? Because freaking iPhone asks for that when I want to download something from App Store. How do you guys handle that?
This goes for Game Center as well. You can use a different one for your mean, nasty, trash talking Gamer persona.
Apple doesn't always make this clear, and I see a lot of people confused about this, but this is an option.
Another login that can use a different Apple ID is Find My iDevice.