You may have to change ES File Explorer's default settings, but mine shows the current directory path at the top bar of my display. I set mine up to see the root directory (I'm rooted) and to show hidden files. I also set it to show SDcard storage available.
You can move/delete files and directories by pressing the Select icon, select your files, press settings, press operations, choose copy, move, etc. Once you've chosen your operation, go to the directory where you want to move them, and paste them there, using the paste button that appears when you choose the operation.