Since the Earth rotates, the stars are not at fixed places in the sky but appear to move, more or less towards the west. To photograph the tracks the stars make across the sky, all you need is a camera that remains fixed to ground and have it expose for an appreciable amount of time. Such photos can be quite artistic.
The stars appear to rotate around both the north and south poles in the sky, of which you generally only see one. Stars very near the pole are almost stationary in the sky, while stars closer to the equatorial plane move quite fast. All move about 15 degrees per hour in right ascension ("horizontally"), but do not move in declination ("vertically").