These new 'slide on over a cone' boots are a godsend for these jobs as the joint doesn't need to come off.
However,
I have come across three methods for removing the joint itself.
1, with the boot off, flex the joint & you should see a circlip, open this slightly and the joint should slide off the shaft.
2, similar to above but with a C clip. Grip the shaft in a vice, hold the end of the shaft & use a suitable drift to 'persuade' the joint off the shaft.
3, some cars have a threaded hole down the centre of the shaft where a bolt can be screwed in to push the joint off the clip (or a decent puller can do the same job)
With the joint apart, it is fairly easy to dismantle completely - 6 ballbearings on a race in a cage - just make sure you note which way round the race and cage goes as there is an inner and outer side. (the first ball has to be eased out of the race by flexing the joint)
With it all dismantled, it is easy to then clean up and inspect. if the boot has been split for some time you may have got loads of road crap in there - not good for wear and tear, so a good clean up of the parts will enable them to be thoroughly inspected.
This isn't the definative guide but most CV joints are very similar.