The dpad on the xbone controller would be really good for this game, the clicks are fast and accurate.
I use a xbox 360 madcatz sanwa fight stick it's great for this game and all other fighting games but you probably wouldn't want one as they're around £120 and the only other type of game you can use it for are old snes/megadrive/arcade games.
The xbox one controller is better than the 360 for this game? I've found the 360 hard to get a precise input. What about the PS4 controller?