I usually move first and keep the same rhythmn and speed.  For me if I try to get more on the shot I either dont get it at the bottom of the swing consistently because I speed everything up and it becomes a timing issue or I tend to pull the shot.  I generally move first but whatever you feel more comfortable with and works for the strong part of your game would be what I recommend.  For me, its to make a movement ajustment first then if that dont work change speed and tempo.

HM