I have a very prominent adams apple and always find it extremely difficult to shave the adams apple area of the neck without cutting myself. Any tips?

I salute your prominent Adam's Apple, you should be proud of it!
OK, Two effective ways to navigate the troublesome Adam's Apple while shaving.
First Method: Pull the skin over the apple to one side.... shave across that area and release. If need be,  pull the skin to the other side, shave across that area and release.
Second Method: Swallow, hold that pose long enough to shave across the area, then release and you're all good!
Try one method or perform them both! Your Adam's Apple will Thank you!
Geo.