The first layer to remove is the rear mirror of the LCD. There is usually mild adhesive or very very thin double-sided tape holding it in place.
To start, take your exacto knife and optionally place pieces of thin tape on either side of the blade to dull the edges a little bit, but leave the sharp edge unobstructed. This way you can effortlessly cut through the adhesive but don't scratch the layers of the screen with the sides of your blade.
After peeling open the rear mirror film, you see the first splatters of LOCA. Wipe them off with alcohol and a lint-free cloth, and you can then assess the situation again: if there is more glue in between the next layers, you will have to continue.