You can copy the prefs.ini (‘File’->‘Open prefs folder’), which contains all device information, LightBurn settings, window layout, and more. Before making this copy, close LightBurn, as it writes over that file on close.
For the Library files, copy the .CLB and .LBART files you want to transfer. I would also look to duplicate the fonts installed on the old system as well to ensure all previous files work as expected.