I have screwed up the keys in Kitsune Tails and keep messing up the key binding menu, too. How can I reset the game back to its first run state so it asks which key layout to use?

You have to find the KitsuneTails folder in your AppData\Roaming Windows folder. You can get to your AppData\Roaming folder by typing %APPDATA% in the navigation bar of file explorer and pressing enter. There should be a file called deviceconfig.json, delete that file to reset all your settings.