It's not terribly difficult to remove the battery TBH. A pair of sharp scissors will do the trick.
My thread about my old 2000
HERE shows exactly what it looks like.
My thread on Amibay
HERE shows the removal process on an a500+ which is very similar indeed.
It is always worthwhile snipping the battery off first before desoldering the legs, as it acts as a heatsink. combined with the fact that it is connected to a rather large ground which also acts as a heatsink means that it can be tricky to remove with just a soldering iron, hot air is really useful here.
The main thing is to get the battery off, and clean off any residue.