Okay, no please do not use a small screw driver, that is just askin for you to fuck up ur door panel if the screw driver accidently slips off it, its goin to make a nice line in ur side panel. Take an extra 10-20 minutes to take off the door panel, then from the inside push them out. That way ur not digging into ur door. Unless you want that "unprofessional" look.
if you take your time to get it donw with the small screw driver - then you wont fuck up your door... AND you will not have anything loose inside your door from take the panels on and off.
I've taken my tweater covers off several times now... I think Im actualy on my 3rd set because I wanted to get the paint coloring just fine.
just your your fingure nail to lift one side of the cover, then stick a small (preferably a "eye galsses" repair) flat head screw driver into the opening and it just pops out.