How do stars appear to move in the night sky?

The stars don't move, but the Earth rotates. I recommend learning more about outer space and astrology, it's mighty interesting.

I would like to add some information you may find useful. Because the light from stars travels so far to reach us, it becomes rather feeble. It then must pass through the increasing density of earth’s atmosphere, which bends the light rays this way and that. “Twinkle, twinkle, little star, how I wonder what you are,” says the nursery rhyme, adding a touch of animation to the silent heavens. If it twinkles, it is a star.
Planets, however, only reflect light from the sun, just as the moon does. They are relatively close to us, being fellow members of the sun’s family, the solar system. So planets that can be seen with the unaided eye reflect a light that is steady and unblinking
Isaiah 40:26. “Raise your eyes high up and see. Who has created these things? It is the One who is bringing forth the army of them even by number, all of whom he calls even by name. Due to the abundance of dynamic energy, he also being vigorous in power, not one of them is missing."
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