The new battery got here today and I just finished replacing it. The hardest part was getting the front cover off. In the videos it looks like it's a held under a little lip around the side cover. It's not, it's glued on. They sent a plastic spatula (I think it's called a "spudge") with the battery, but it's too thick to get the thing started. Use a dull single-edge razor blade to pry the front up, then slip the plastic tool in and use it to pry off the front. Don't be too gentle with it or it will pop back down and you'll have to start over; you're not going to hurt the display with the plastic tool.
After that it was pretty easy. Use reading glasses. I didn't and I got away with it, but I'm nearsighted -- and it still would have been easier with a pair of cheaters. If you lose one or two of the tiny screws, it probably doesn't matter. There are 11 of them, and that's way more than it needs. The battery also came with the right size screwdriver. I was congratulating myself for not losing any screws as I was putting the next-to-last in and I dropped it in the carpet.
Found it w/o too much difficulty, but if it had been "lost and gone forever, dreadful sorry" I wouldn't have worried about it. Much.
It goes back together pretty easily, and the old glue is plenty sticky enough to hold the front down.