On the back of the laptop, notice that each screw is angled a little bit inward, aiming toward the middle of the laptop. Keep your screwdriver lined up with the screw (angled a bit outward as seen at 01:23 in the video: https://youtu.be/tToAwO6f-SY&t=83). This will help you get a good bite on the screw to get it out and avoid stripping the head of the screw.
Use the same angle when putting each screw back in. If the screw is in line with its hole it should not feel like you are fighting to screw it in. If it does, check your angle and back up a little; you should feel the screw fall into line.