I recommend using the backup feature in the game itself, not the version in the launcher. That is explained further down at the bottom of the above link. The picture is specifically:
  1. Backs up System Configuration, such as graphics settings, sound settings and global macros.
  2. Backs up character-specific settings, such as keybinds, hotbars, HUD layout, character configuration and macros.
I recommend clicking both.

Once backed up, go to the other computer you play the game on and Restore the settings.