I know many of us have probably seen this method or are aware of it. I know that watching some of my family members do things I have seen the "pros" do often makes it seem more doable. I used to pull the table, use a heat gun, chemicals and so forth to change out a disc. The bulk of the work came from waiting too long to do the job and from cheap discs with poor adhesive qualities. These things make removal a mess and require a lot of clean up. Better quality discs save you money by lasting longer and (more important at change time) coming off cleaner.
At any rate I just changed this disc in a matter of minutes. Peel off the old disc. Run your hand over the surface to be sure that it is clear of any residue. I then wipe mine with VM&P Naphtha but, the cleaner of your choice will do.
I peel back the top half of the plastic exposing the adhesive. I then tuck this folded back half of the disc into the machine and line up the disc. Press the exposed adhesive to get a grip.
Rotate the disc to expose the still covered adhesive portion. Peel off the rest of the adhesive covering and press into place.
I then sand something briefly and run the rubber cleaner across the surface to make sure things are seated.