How to remove old thermostat and mount Nest thermostat display? [DIY]

In this video, NEST demonstrates how to remove your old thermostat, label wires, screw the Nest Learning Thermostat into your wall, insert wires into Nest's base, and mount the Nest thermostat display.
This video has been updated to show the new Nest thermostat base with improved connectors as well as new anchor screws. Check it out -