Hi Bob,
I've soldered hundreds without problems. I solder from the top, I used to take the board off of the tray to solder from the bottom, but have simplified it now. a simple trick to make it easier is to clip the axial leads off the existing battery, apply a very little bit of paste to them, then solder the new leads to the old leads. this reduces the heat on the board. Lately I have been mounting battery holders to the front of the tray, and soldering the wires to the axial leads (that i cut the old battery from). this way the battery can be changed with the machine on. I'll look for a picture.
Thanks,
Wayne