You can simply move the 'saves' folder from your old computer to your new one - but make sure it's the entire folder, including the 'persistent' file within it! :)
WHERE ARE SAVES LOCATED ON PC?
PC > Local Disk (usually C:) > Users > USERNAME > AppData > Roaming > RenPy > CorruptedKingdoms-1547378918
WHERE ARE SAVES LOCATED ON MAC?
~/Library/RenPy/CorruptedKingdoms
WHERE ARE SAVES LOCATED ON LINUX?
~/. renpy/CorruptedKingdoms/
WHERE ARE SAVES LOCATED ON ANDROID?
Android/data/com.domain.corruptedkingdoms/saves
NOTE: If you're running Android 11+ then Google has hidden your data folder. To access it you need to connect your phone to your PC with a USB cable or use an app like Solid Explorer or X-Plore to give you access to the folder again.