Keyboard shortcut or script to move full screen applications to another screen

I have four physical displays and like using applications in full-screen mode. While working, I typically have around 10 apps running in full-screen. I frequently to rearrange the full-screen windows, moving them from one display to another by switching to mission control mode and then dragging and dropping the windows. **Is there a way to do this using a keyboard shortcut or an Apple script?** To clarify: I would like the app windows to remain in full screen mode at all times. Tools like Better Touch Tool, recommended in another post , only work with apps that are not in full screen.