With a lot of heating, for me, it was very hard to get the glass to separate from the case. I had better luck starting from the bottom right as I could grip better onto the case. Three mistakes I made:
1. Once I got the glass separated, I probably didn't heat sufficiently as I was going around and the glass broke. That made the rest of the procedure miserable. Lesson: pull very gently.
2. I must have touched one of the tiny bits of glass that fell on the LCD and it scratched the actual screen. :-(. Lesson: vacuum the pieces as you go and be very careful when touching the LCD.
3. I somehow overheated the LCD screen at the top left and right corners and now the display is all wonky and faded at the corners. Not sure what the lesson is here.