Hey Kono!
Saves are carried over automatically whenever you download/update to a newer version! All you have to do is boot up and play :)
If you would like to know the location of your saves, however, you can find them in: AHITR/game/saves for PC and ahitr_storage for Andriod (If you ever back up your saves, be sure to grab the "persistent" file too).
Hope this answers your question!