DD was like this but grew out of it about a month ago - oh what a difference, phew! we survived!

The only thing that worked for me was having a box of contraband - stuff that she was never normally allowed to play with or things that she had never seen before - bulldog clips, elastic bands, spoons, nappy snappies, USB stick, roll of sticky tape, plastic sandwich bag full of coloured plastic bits etc - and each change I would allow her to select something out of the box to look at, but if she mucked around during the change then I took it off her. I explained the rules and gave warnings but if she still continued, then I followed through. It worked as long as I kept the box interesting, and she was only ever allowed to play with them during nappy time so the novelty couldn't wear off.

Good luck!

Oh and I got very good at wiping a pooey bum while she was standing up if that helps!
I have done the same as Winter and it works every time. Much easier than trying to sit one of DD's feet and hold her other one so that she doesn't kick me We have my mother's day card, aircon remote, balloons, teaspoons, hairties, etc.