Chris, experience is your best teacher. Other inspectors will each help you (listen carefully to what they have to say). Even when you get comfortable removing dead front covers, issues will arise that you have never encountered.
Make sure that you are carrying both Flat head and Phillips head screwdrivers with you, because you will run into situations requiring both types.
When you unscrew the top left screw, put that particular screw in your front left pocket. When you unscrew the top right screw, put that particular screw in your front right pocket and so on until there are no more screws and no more empty pockets. Try to make it a practice of knowing which screw went where (they don’t always fit where you want them to fit).
I’ll give you an example of experience being your best teacher. On one inspection (years ago) I brought only a phillips head with me. I unscrewed every screw (which seemed to take forever). I unscrewed every one but the bottom left, my last one. It was a flathead and I didn’t take it out of my toolbag, before I began. I figured that I could just carefully lower the cover slowly to the right, so I could take a look inside. I should have known better because it didn’t go as far down as I wanted. Very gently, I pushed a little further down and I realized something was just not right. I glanced up to my left and noticed that I had tore some of the owners sheetrock. Very calmly and without making a scene, I put the panel back in position, and put in another screw in the top right to hold it; until I had my flathead with me. I then proceeded with a proper inspection and learned some valuable lessons that day.
Learn from your mistakes and learn from mine. Stay safe and remember: “SAFETY FIRST, SAFETY ALWAYS”.