For the interior door handle you just have to pry out the small panel around the handle. Then the handle assembly is accessible. There's only one screw that holds it to the door frame that's located on the bottom of the assembly.
To get to the exterior door handle you have to remove the small panel, then the door trim panel, then peel back the water shield. When removing the door trim panel there are a couple of screws to remove, then lift up (rather than prying out) and it will snap off. The exterior handle is held on by a couple of nuts that you should be able to get to at that point.