A friend who studied abroad in Australia showed me this trick years ago. It makes eating a kiwi portable, mess-free, and best of all, extremely fun. It puts a smile on my face every time.
Just slice the kiwi in half and then carefully run a paring knife (or even a butter knife) just under the skin around the circumference. Slice almost all the way down to the bottom without actually breaking through. With a little pressure on the bottom, the fruit of the kiwi will push up and you can happily chow down.
Even if you just want to cut the kiwi into pieces for a fruit salad, this is still one of the easiest ways I've found to peel off the skin without bruising the fruit or making a huge mess.