Thanks for that.
Yes, New Folder is a separate action. It could probably be combined I suppose, but its separate. I added a new page for it (New Folder action) and a link to this and removed direct references from the page.
Delete will only delete files not folders.
Delete Directory will recursively delete a folder and all its contents. It is an extremely dangerous action.
Conceptually, moving an item changes its full path from one thing to another. This encompasses moving it to a new location but keeping its name unchanged, changing its name but keeping its parent folder unchanged, or moving it to a new location with a new name. I added some info on this.
I have moved the info to File Actions action and redirected all the others there.
Hopefully that is somewhat improved.