Are you moving right now? Probably you would say no but in fact you are on the surface of the earth that is rotating making you go at something like 400 m/s, revolving around the sun at around 30,000 m/s, our solar system revolving around the galaxy at 222,000 m/s and our galaxy is moving at some other ridiculous speed.
Simply put, movement is relative to how you observe it.
Put in a more simplistic example, if you are sitting still in your car you are also moving at the same speed as your car.
Excellent basketcase.
Would another example be a parachutist falling but being filmed by the other parachutist next to him?
It doesn't seem like you're falling until one of them pulls the ripcord, then they appear to fly up but it's the cameraman who hasn't deployed his chute yet and speeds down past the other guy.
I recently bought a science magazine (Popular Science special edition - can't recall), which feature was about Time (I think the cover simply said TIME or something to that effect - no not the news magazine lol).
They went through one example of time dilation, but it still perplexes the mind.

