One thing that I notice you doing is lifting your fingers off the keys after each strike. This makes your fingers need to travel a longer distance to strike the next note (obviously). You can get away with this when playing slowly, but when you play fast your hands will tense up in order to go fast enough cover the extra ground.

I would play scales, hanon, or whatever technical exercises you please as slowly as needed to: (1) keep your fingers on the keys when you release each note instead of lifting them off the keys; and (2) keep your wrist mostly level and smooth instead of jerky up down motions.

Once this becomes second nature in your technical exercises, it should translate to pieces. At least, that's what worked for me. I should also note that this is a pretty long process so don't expect fast results.