They are all man-made peacocks. People put their own slight twists on them and give them a special name. Along the way other people probably screw up the naming at some point, which then breeds future confusion as to what is really what.
If you've got a particular color preference, you'd probably want to buy a young adult/adult fish of the color you desire.
A second option would be buying young fish provided you've seen the parent(s), but then you're trusting the previous line-breeding to be reliable/stable at throwing mainly the traits of the parents (which IMO is also a gamble because not many people seem to breed enough generations to establish this).
