I play with the Gamecube Controller: So much variance and I'm so used to Melee. Plus I have a special wireless GC control that's bigger than usual for my big hands.
The Wii Mote + Nunchuck is ok
The Wii Mote alone is awful
Idk about the classic controller.
Wii Remote and Nunchuck all the way! I tried all the methods but I prefer this one more then the Gamecubes controls. So much fun this way and it allows me to transition from my attacks much more easily.