Always add some "fresh" (unleaded) solder before trying to remove the older one, and a basic desolder is cheap enough, use the desoldering wire just to refine the work (if needed)
I actually didn't see you and bluecar's reply until just now, after I've already "done the deed".
Once I got the copper desolder braid I was in infinitely better shape. After some tries I managed to get the desoldering part down pat fairly well. The soldering iron I am using is imo, not well suited to the task. It's a 'gun' type one and the soldering bit it has is not terribly good for small jobs. The other ones it came with did not look any better.
I really needed one that was more like a pencil and came down a point. Instead it was shaped more like a flat-head screwdriver and I had to use the edge of it. The other problem was that it is rather heavy for a precision instrument, and I also had to squeeze the trigger fairly hard to get it to heat up. This made aiming it in a precise manner difficult. My hand kept shaking, but despite this the desoldering went pretty well.
The soldering however was very difficult for me. My hand was just shaking too much for the project to go smoothly. On one of them I got the solder wire stuck, but the 'blob' I made looked fairly good so I decided to just cut it off and cut down the 'stem' the most that I could.
I ended up with two soldering "blobs" that were a bit larger than the factory ones on the pcb. I mean you can certainly tell that one key was not soldered by the same folk :-P
I plugged it in and it WORKS!! :dance:
So far so good anyways. It's a very fresh switch too, it was the 'f6' key from the extra function key set of my previous Avant. I may never have actually pressed the key!
THANKS TO EVERYONE WHO REPLIED!!!!
Special thanks to Ripter for the video link that changed my mind about the whole thing.