I meant to add.. there are two ways to kill the LCD or possibly crack the glass. By going too deep in the seam. So stay shallow. But you can also damage the LCD by putting too much sideways horizontal stress on it too. So it helps to keep moderate pressure down on the top of the phone so that most of your prying sideways force goes towards deflecting the bezel outward and thereby dislodging the adhesive seal. So "pinch" the phone by holding the top and bottom between your fingers of one hand. Or set the phone on a flat surface and press down on the top (glass) of the phone moderately to try and keep the glass and LCD sandwich in place while you pry as gently as possible sideways and outward to dislodge that adhesive seal.
This is not hard to do, but it is dangerous. The author is correct, no heat gun is necessary but it's easier with a heat gun or low or a hair drier on high. Don't use a metal blade, only use a guitar pick or plastic spluge. Be patient and do resist any temptation to pry *deeper*. Just keep prying shallow and horizontally. You may have to go around the perimeter several times but you will succeed.
As soon as you rush, decide you have to pry harder or let a tool go a millimeter or two *deeper* that is what will kill your LCD.