My battery had swollen so it was already popping off the screen for me so getting the screen off wasn't so hard :) For me the trickiest bit was getting the battery out - the adhesive was really hard to unstick. Had to do a three or four attempts with the alcohol - take your time and it will come out, don't force it. Good luck!
This is an excellent guide, thanks for the effort.
For others who attempt this; getting rid of the old adhesive is really time consuming, it took me a good hour or so to get it all off the body and screen.