Mark one of the tape’s edges and, upon removal, stick it down with the same orientation. The first time I was inside the MacBook Pro (to upgrade the SSD) I failed to do this, and spent almost 30 minutes trying to get it back like it had been. Making a photo also helps.
I had the same experience as Marc. My battery was also so swollen that I only needed to carefully pry underneath with a spudger from the side away from the trackpad to get it loose. I had several plastic cards on hand that I used “just in case” there was a problem.
Piece of cake, as the saying goes! (Sorry, but IMHO—in my humble opinion—opening the case wasn’t as difficult as it’s made out to be.) Got it done, battery replaced successfully, case pried open and closed up again, in about an hour.
But it’s not all balloons and sunshine. Trying to pry open the bottom edge, the tool slipped and entered the charging port, apparently knocking loose some pins. Now I can’t get the new battery to charge, or the device to sync with my MacBook Pro. I hate creating problems by accidentally breaking something else while attempting a repair! Arrrggh!
I used the flat metal “paddles” found in the original iFixit kit (the one with the 54 bit Nut Driver set, in the grey pouch with Velcro) to open up the iPod, along with a couple of plastic spudgers and the iFixit “Jimmy”. As many have reported, the plastic tools are practically worthless. Both times I tried to use one, part of it broke off in the iPod. I also had no use for the 1 1/2” putty knife.