as long as the files didn't get changed by some third party, your saves should transfer just fine. be careful downloading from other sites than what the dev has listed though, as some people will change files in order to spread viruses or try to scam you into paying for a free game.
If on Mac or PC, everything transfers automatically. On Android, you have to find your save file, move it to a different location, download the new version of the game, then replace your save file in the correct folder. I don't know where the save file is located though, as I play on PC.
