A few thoughts, having done this over the weekend:
First, get yourself one of those sets of three plastic putty knives from the hardware store (the ones that have 3 different sizes). The middle size was the same size as the battery, and made removal of the battery while heating the back of the case a breeze.
Second, remove the tiny screws (two on each side) holding the kickstand to the hinges. It’ll let you fold it all the way back, which makes heating the backside much easier.
Third, while you’re in there, scrape out the copious and ill-applied thermal paste from on and around the CPU dies, and put on something decent. I did, and my Pro 4 is running much cooler now.
Last, TAKE YOUR TIME. I managed to remove and replace my screen without issue, but it took me a bit more than two hours to get it removed, and then remove the adhesive from the case and the back of the screen. I started in the upper-right corner, used the iFixIt Jimmy, and kept the heat gun around the bezel only, just slightly ahead of the Jimmy