After the fall, my Pixel has the top corners of the metal shell slightly flattened making the final part of reassembly difficult: the new screen remained raised at the top of the phone by a millimeter. To fix it, I laid the phone with the screen facing down and on top of a mouse pad to avoid damage from scratching or breaking the glass; I pressed my fingertips on the back of the top edge steadily and energetically until I heard the click of the plastic clip securing the screen. The screen looks brand new now.
If the screen glass is particularly broken and/or the suction cup has lost elasticity: rely heavily on clear wide packet tape by putting a smooth layer on the screen and sticking another raised layer over it so you can grip it with your hand. Use the Jimmyif the opening pick is not thin enough to fit through the slot, being extremely careful not to smear the phone shell and not to abruptly insert the pick inside the phone causing serious damage to internal components. Then use it to create just enough space to insert the first pick, then continue with the picks.
The Jimmy is also useful for cutting the strands of adhesive that stick to the screen and make it difficult to separate from the shell, while keeping in mind the warnings in the previous point.
The iOpener worked for me. I just insisted on using it until the screen visibly moved upward (some creaking is also noticeable). It was heated for 35/45 seconds with 800 watts in the microwave oven every 10/15 minutes.