Make sure you've got the right screwdriver and that it's of decent quality metal so that it won't shed metal when you use it.
After that it's just ensuring you get a good fit in the screw head and can make a nice strong turn to dislodge them.
Whatever you do - don't strip the top of the screws as that'd make things much more difficult. Pushing into the screws helps the screwdriver seat properly, though you're probably already doing that at this stage
Hope that helps.