Looking For Animation Lines Help

I am trying to animate a star wars Star Destroyer coming out of hyperspace, having an explosion on its side and slowly turning to its side and then expoentially fall from the sky to crash on the ground, then sliding across the ground to its final position.

I have the general animation done but I can't seem to smooth out the transition from it exploding, drifted forward some, then beginning its descent. It will constantly jutter step when it gets to the keyframe and then cut downward.

I've tried using the bezier, as well as the ease in & out items in the graph editor but it doesn't seem to do the trick.

Then I saw a short of someone doing smoke trails where they actually animated the lines & curves in the edit mode view. I am not sure how they got the ability to edit the entire lines, anytime I calculate the frames and go to edit view it just shows me the entire keyframe pathway instead of me being able to drag the lines around and manipulate it live in the animation.

TLDR; How do I get to see & manipulate the animation lines in edit view?