I’m a small town repairer of iPhone, iPad and iPod, and occasionally other brands of phones and tablets
Isolation tape can also be placed over the connection after disconnecting to prevent any accidental short-circuit mishaps, thus reducing the need to remove the battery.
It’s amazing how a heat gun or hair dryer makes life easier to soften up the adhesive. Then use a thin iSesame opening tool to get in under the screen (start @ 90 degrees/vertical either side of the home button & slowly go horizontal) the need to use suction cups. Run the opening tool along the front and down both sides to cut the adhesive before trying to lift the screen.