While I was waiting for it to finish heating up, I took some pictures of my fridge because it is cooler than your fridge.
DING! Five minutes was up! I took it out of the oven and viola!
After playing with it I realized that it was not quite malleable enough so I stuck it back in for another minute and a half. Once it was done I quickly flipped it over (it's hot but not hot enough that you can't touch it) and put it in another bowl with a wider mouth and started shaping it:
I started on a second one and figured out that I could get a nicer shape if I first threw it in a deeper bowl so it would start to bend closer to the label, and then after a few seconds transfer it to that grey bowl in the picture above which was wider so I could mold the wavy part the way I wanted.
Here's the is the first one. After doing the second one with the two bowl technique I decided to shove the first one back in the oven until it was soft again and do it the same way.
So here are the first two I finished. You probably can't tell much difference between this picture and the one above it, but the one I redid is shaped much nicer this time around.
So that was it. It was very very easy to do, and not messy at all. The vinyl just gets soft and woozy it doesn't really melt. I did notice that the bowls seem shiner now than they did as records and all the scratches on them are no longer noticeable.