Count the screws as you remove them - there are 8 securing the door handle & seven around the perimiter of the panel.
Excellent tip from John to pop out the tabs from behind the rubber before trying to remove the panel.
I find it easiest to pull out & up at the top of the panel, at the end opposite the hinge. It tends to be tight coming over that bracket for the trim piece, but once you pry it out slightly, it will come. I find it easiest to use one hand to leverage it out away from the bracket, with my other atthe base of the panel immediately below to apply the upward motion. Then you are going to rotate slightly continuing in the same direction (depending on which door i.e. clockwise for driver's door) to release the rest of the panel from the track.
Something that is not immediately obvious until after you get it off the first time - the chrome strip remains on the door - it is not part of the door panel.
Be gentle & be very careful once you get the panel free, as you will have to disconnect several electrical connectors on the door panel before removing it completely - you have a little free play, but if you try to just lift it away without looking inside you'll rip off the wires, most likely on the illumination connector! It is possible to lay on the ground after you have popped out the panel from behind the rubber strip, locate them & disconnect before you remove the panel.