Couldn't be easier!

Mein Problem

Nothing unusual, original battery just didn't want to hold a charge.

Meine Reparatur

The on-line instructions were spot-on! I had a few concerns given that you're US & I'm in Australia, but in the end it went almost exactly as per the instructions.

Mein Rat

Some re-assembly tips would've been welcome. There are a few quirks that crop up on re-assembly.