Yeah, I use generators a lot as well.
There's also this book called Gary Gygax's Extraordinary Book of Names if I'm not mistaken, which is amazing for anyone looking for Fantasy names for pretty much whatever. I would really take a look at that if you're a fantasy writer.
As for moves, I always struggle with trying to make them unique. For example, a dash. The only thing I could think of were things like Quickstep, Flashstep, etc. All of them have been used at least in 100 different books. And Latin didn't really save me there. All of the names sounded off.
But yeah, "sounding cool" is pretty much how I go with everything that's supposed to be cool.