I use a Dremel with a sanding tip lightly on the beak and toenails. They seem to like it better. I guess the noise soothes them. I keep it very low, and make sure that it doesn't get hot. I think those nail trimmers are pretty much like a Dremel.
I completely forgot I got a Dremel set for a gift a couple years ago. Remodeling the house I've put so much away forgot I had it. Thanks for the tip!