When I did my first one, I lifted it and fought to get it done. Second one, I did on ramps with the front level and it was a piece of cake!
This is what I wanted to mention. The guide is only well written if this is a 2nd or 3rd replacement. Otherwise the axle has been on there for a good 10 years or more, caked with dirt, rust and God knows what. You'll need a breaker bar, 7mm and 8mm hex sockets, a star socket and a little bit of muscle. Maybe some pry tools if it's real bad. I had to undo my wheel, the brakes, the bearing hub and THEN the axle finally came free. Took me a total of 3 days on jack stands because I didn't really know what tools I needed and didn't want to risk breaking anything. It's all strong anyway so all my precautions didn't matter. Looking at the other side, I could probably repeat this job in under 3 hours now.