I have move and my brother has the wii so I have played both extensively. The wii controls tend to be a bit more sensitive and touchy (especially in shooting games) whereas the move can be calibrated to a persons sensitivity. This can be annoying to do but overall i think its an advantage.
The greatest difference i have seen between the two is when playing fighting games - the boxing in wii sports is crap and consists of having to make wide swings or straight movements for it to register. The gladiator duel in sports champion is very different in that you have much more control and the camera records your motion much more easily.
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