Why cant we see galaxys actually moving?

We have no stationary object to compare them to as we are also moving. No object is truly at rest. Also, they are extremely far away, so we would need to see them with much more detail to see that they are actually moving. Though, we can tell if a galaxy is moving away from us by observing the dopplar effect. Long waves of light (red) come from an object that is moving farther away, while short waves (blue/violet) come form an object moving closer.