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To the right and below the 3 stars (orions belt not the big dipper in the constellation "Orion") is the brightest star in the sky(excluding the sun) called Sirius. When it is near the horizon it will appear to pulstate and change colours due to refraction by the atmosphere. It however will not move relative to the other stars near it. It will move with the other stars as they traverse the sky just like the sun traverses our sky.
If it was moving relative to the stars then it has to be a much closer object like a plane or satellite. Satellites move at a fixed rate across the sky and typically are only visible for a minute or so. Planes of course are much more variable.
cheers
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