King Charles is officially on the move, and Buckingham Palace is giving royal fans a peek behind the scenes of his latest adventure. From his in-flight reading routine to an unexpected travel companion in the cockpit, the monarch's Caribbean tour is already serving up a few fun surprises. The palace began sharing updates on Oct. 27, documenting the King's journey as he kicked off his autumn tour in The Bahamas. And in a glimpse we don't get ever…