Simply drag the SortableList widget on to your page and specify the widget id of your list container, and all children will autmatically be sortable and draggable to other lists that are associated with their own SortableList widget.  Use the Options parameter of the widget to further control the lists' behavior.

The structure attributes and public client actions have descriptions explaining what they do, and full documentation for the JS library is available on the Sortable JS GitHub page.