You make it sound easy Mike
Well, I have good axle stands, a trolley jack, ratchet ringies (worth their weight in gold), and a helper, so I shouldn't have too many difficulties. I think I will give it a shot without removing the radiator at first and then remove the radiator if things get too difficult/fiddly.
I have heard of people having issues replacing both engine mounts at the same time because the new ones were too thick and needed some time to settle? I don't think I will be doing both at once because at the moment I just need to get the car back on the road, but if it does need to settle I will delay doing the other side for a while.
A tip for those who weld the nuts to make them captive - Make sure you weld them well enough that the welds aren't going to break. I have had to deal with an engine mount with nuts that had been welded and the weld had broken. Not only were they no longer captive, but a spanner would not fit the nut. That time things access was easier though because the engine was mostly dismantled.
I was just reading a statistic on the number of people that had died from working on/under cars the other week. About (can't remember the exact number) 29 between 2000 and 2007. That is quite a lot, although some of them were doing things that are downright stupid. Still, it doesn't include the people who were injured but not killed, or the near misses.
Since I got my axle stands I only work under the car with at least an axle stand and a jack under it (or 2 axle stands). I often put tyres under there as a backup as well, and I always wobble the car to check stability. Most of the time I try to avoid working under the car though.