There is a thick adhesive stripe that attaches the bottom edge of the bezel to the display panel. Therefore, keeping the bezel tilted up a bit with one hand, detach the tape from the bezel using the other hand trying to leave the adhesive attached to the display. Start from a corner and go slowly along the edge.

If you will be not disposing the old screen, wear the anti-static wristband before beginning the separation and while you are taking the bezel away, try not to detach the dove-grey shield that covers the LED driver of the display (in other words, do not obtain something like the bottom of pic#3).