Couple of things here:
- Use a ball peen to tenderize the cork and when you do it, the cork will curl and you want it to curl in the direction that you need to wrap it around the neck
- Never do a butt joint on a neck cork. Before you put it on, sand one edge down to as thin as you can get it.
- Use 150 grit sandpaper for the taper and then maybe you go to 220 or 320 for the finish but it is not really necessary, in fact you may get better adhesion on a coarser surface.
- Always install the cork in the direction opposite to righty tidy lefty loosey. If you are right handed, install the cork counterclockwise because that's the natural way of "stretching it over the neck"
- Cut the overlapping piece of cork at the line where the taper ends and sand the area over the taper to a round shape
- Put a small bevel at the beginning of the cork
- Sand the rest of the cork but not too much.
- Use 320 grit or higher for finish and put on cork grease
- When you put on the MPC for the first time, go counterclockwise and very slow to compress the cork to fit the MPC
- When you put on the MPC any time after, go counterclockwise - never go clockwise unless it is a small adjustment
Putting a new cork on is a matter of 10 min or less but if you do it right, it'll last forever.
@Colin the Bear, I tried the synthetic "Valentino" cork a few times (you can get it dirt cheap from 3M) but I don't like it. If you are happy with it, good for you, and there are also these condom-like slip-over tubes but I found those even worse, just my personal experience).