There is no way to move it to the bottom of the screen. That is where the OSD Display (Arrow up menu) is displayed anyway. It is going to pop up whenever you move your mouse to any edge of the screen.
There is no way to turn it off either. It is basically the Windows window frame, but specially modified, I believe.
But why are you moving your mouse to the edge of the screen? Just leave it wherever it is, and the mouse will vanish. I think that is controlled by MC. Or maybe Windows, when a full-screen video is playing. Also, even if you move your mouse to an edge, the progress bar disappears pretty quickly, unless you hover over it.