::::You can't move a category in the same way because a category can't be "moved".  Best way to do that is to list the category for renaming at categories for discussion.  In that process, you list the old category, the proposed name, and your rationale for why it should be changed (there is a template where you put all of this in).  Then at the conclusion of the process, an administrator deletes the old category, the new category is created, and then a bot moves all the articles to the new category.     

 :::::Thanks for the explanation ) I added the renaming tag on the category page and an information on the process-listing-page. I hope I made no mistake... we'll see. ''''''''''