Once you remove the bracket, you will notice 3 different connectors.

Two digitizer flex cables

One LCD panel flex cable

Use the flat end of an ESD safe spudger to gently pry off the LCD panel flex cable, by pulling up on the short side of the connector

After disconnecting the LCD flex cable, gently remove the LCD panel and place it in a safe location that is ESD free.

Be sure NOT to pry off the FPC connector on the main board. This is sorta difficult to do, but be careful nonetheless.

When you are ready to reattach the flex cable connectors, make sure to line up the connector to the port and press on one end of the connector into the port. Then press the other end in, and secure it by pressing on the middle of the connector. Verifying that is is secure