Once the screen is warm to the touch, apply a suction cup as close to the heated edge of the phone as you can while avoiding the curved edge.

The suction cup will not make a good seal on the curved portion of the glass.

If the phone's screen is cracked, the suction cup may not stick. Try lifting it with strong tape, or superglue the suction cup in place and allow it to cure so you can proceed.

Lift on the suction cup and insert an opening pick under the display assembly.

Due to the curved glass, you will be pushing up, rather than inserting parallel to the plane of the phone.