Use rockets to get up faster. Lay off the rockets only to get around a moving mine or to avoid ramming an enemy ship.
Spend as little time underneath a ship as you can. Enemy shots move quickly in this game.
When you start going downward, don't go sideways until after you've hit one of the upper level ships. Your ship isn't immune to the sides of the docking station.
Again, use the rockets. Again, missiles move fast and it is best to be speeding away from the ships. You also get to the ground faster.