To change the order of fields on a ship profile you can simply select the Change order of fields link from the Settings page and use the mouse to drag and drop the desired field on the list as shown below. Order changes once the field is dropped to a new location so there is no need to save any changes made.
If you need to move a field between categories you need to edit the Category property of the field in question as shown on Fields on ship profiles (add/edit/delete/order).
