Hi diggeridoo,
You do not have to do anything with your database.
Please just follow the following steps after installing the latest version of the plugin on both your source and destination sites.
Export (source)
1. Active All in One WP Migration plugin
2. Go to All in One WP Migration -> Export
3. Click on Export to a file
4. Wait for the export to complete, then download the file
Import (destination)
1. Active All in One WP Migration plugin
2. Go to All in One WP Migration -> Import
3. Drag and drop the file in the import area, or click on import from file and pick the file
4. The file will upload to your server, depending on your connection it might take a while
5. When the file has been uploaded, we will show you a dialog that tells you that your database and files will be erased and we will replace them with the files from your other website. Click OK
6. Wait until the import is completed
7. At the end of the import you will see a message that will tell you to save your permalinks, follow the link on the screen. You may or may not have to login before seeing the permalinks settings page
8. After you save permalinks twice, your website is ready to be used
**Please note that you will have to use the login details from your exported site after import.**
Let me know if you have any questions.