I've been thinking about teaching myself how to teleport, but I think there might be some problems. For one, the spin of the earth, which at the equator is about 1000 miles an hour. If I was to teleport from either pole to the equator, I would essentially go from zero miles an hour to 1000 mph. I'd be a long red streak.
On the other hand, I could jump from pole to pole, or from the same latitude from either hemisphere, and have no problem.
If I was to jump from the equator into space, I'd pop into space doing 1000 mph! The inertia would immediately squish my organs flat.
Now, if I was to jump from either pole into space, again, no problem.
I could jump from either pole to the moon, but I believe the moon is moving at about 60 miles per second. If I was to land on the trailing edge of the moon, I'd have no problem, but I was to land on the leading edge, I'd fly into the moon at 60 miles a second! Of course, I could appear several yards above the moon and just float down...
I guess those transporters on Star Trek would have the same problem.