This went very smoothly. I bought the tool with the 2 suctions cups to make removing the screen easier. The new battery is now installed and working. I'm hoping for better battery life as the old battery would not last 1/2 day anymore without some charging.

My advice: take your time. And where it says the screws are different lengths, check it out before removing the screws :-)

I used the ifixit magnetic mat, with their kit. So mat under the plastic tray with all the little cups. That gave me confidence that I would not lose any screw.