The title of this guide suggests it gives instructions on replacing the HDMI port. In fact, it is a guide for the replacement of the HDMI port cover only.
In this guide, the LCD panel has been removed. It is not necessary to do this in order to remove the rear panel. Just fold it open and you can leave it attached.
I did not have replacement adhesive tabs for my battery so I needed to re-use the old ones. First, I pulled back the black tabs from the top and sides of the battery (Steps 28 and 29). Then I laid the phone on a hot water bottle (Wärmeflasche for our German friends) while I very, very, very slowly prised the battery out of the body using the flat end of a spudger, starting at the corner closest to the volume buttons. The battery did deform somewhat during the process, but it was fully discharged and I had no combustion problems. After a few minutes of gentle pressure on the battery corner, it started to release from the adhesive. Full removal took about 5 minutes and the adhesive tabs were not damaged in any way and happily re-adhered to the new battery.
I did all this after skipping over steps 18 to 27 and put the new battery in place after connecting it first to the circuit board to ensure correct alignment.