Use the Options - "Import/Export settings..." menu items to prepare a single file to move from one PC to another.
You'll be able to select the information you want to save to this file during the export process.
Settings can be stored in one of the three locations: the Registry, the program installation folder, and the "%USERPROFILE%/AppData/ActiveDBSoft/FlySpeed SQL Query" folder. Queries are saved in the same locations (except for the Registry).
When you've found your queries and settings, simply copy them to a new PC to the same location. They will be found automatically by the tool being placed in the right folder.