You can add an item to the Folder Context menu thru the Folder Options dialog, File Types tab.
Find the Folder file type, click Advanced, and you'll see a button to add a New item. Name it (eg MoveToParent) and have it call your short batch file (move "%1" ..), which you already wrote and named (eg moveparent.bat).
A word of caution. The Folder (and File Folder) file types act a bit differently than other file types in the File Options dialogs. For example, to delete a Context Menu entry for the Folder file type, you have to delete the registry key you created in the above process (easy to do). For other file types (.txt, .doc, .xls, etc) the "Remove" key is not greyed out in the File Types Advanced dialog box the way it is for Folder and File Folder (hence the need to remove a menu item through the registry for Folders).
Sorry, none of what I said was wrong, but it answered the wrong question and was incorrect for what you need. You'd want to modify the context menu for files, not folders, so the %1 parameter would point to the proper file. This can be done, but not thru the File Types dialogs I don't think.