If you're on android,go to android-data and find corrupted kingdom folder. Inside that there's a save folder. You can copy the saves elsewhere and then you can freely delete the game once you're done playing.If you wanna play the updated version,just download it ,open it once and then copy the saves inside the folder.
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If you're on PC you could use the itch.io launcher.
Makes it easier to keep the game updated if you're the kind of guy that plays each week.
But for the saves. There are two locations.
One is where the game is installed, in the same folder as the executable you will find a folder called game and inside that one a folder called saves.
The other one is in:
PC > Local Disk (usually C:) > Users > USERNAME > AppData > Roaming > RenPy > CorruptedKingdoms-1547378918
If you delete the game, but download it again later, the game can find your saves in the second location.
In summary. Normally you can just download the new version and it will find your saves.
It's on android that you should be worried.