Hi Adam. Having a tool kit with all of the listed parts above is best. The screw heads are very small and each set of screws needs a very specific type of driver to remove them without stripping any of them.
I used a flat x-acto (#18) blade knife tool to gently pry back the screen enough to allow me to insert the pick near the bottom corner. I then worked the pick under the screen as mentioned in steps 5 & 6 below then. This worked really well for me.