How do I switch over my game from a broken tablet to a new one?

If your game was connected to Facebook, then on the new device, just sign into Facebook, then load the June's Journey app and "connect". You'll be able to select the game in progress (right side).

If your game was not connected to Facebook, you'll have to get assistance from customer service. Contact them through the "help" button in the game settings (green gear icon) or "contact us" at wooga.helpshift.com (bottom of page).