It's a bit of an involved process. The ReadMe can tell you the location of the saves, but just that is not enough.
First, you'll need to run the game on the laptop you're transferring to, then create a character (name and appearance is not important), then save this character in the same save slots as all the save files you want to transfer over, and close the game. File 1 is the auto-save, and you can safely ignore it.
Second, you'll need to open the save file location on both devices. On the old device, copy all the files inside (except file 1) onto your preferred method of file transfer (just a cheap USB stick will work). On the new device, either delete the save files you created earlier, or overwrite them with the files form the old device.
Lastly, run the game on the new device once more and check to make sure the character names and play times have changed over correctly.