Would it be smart to get some old, cheap regs off ebay to open up, learn on, and practice rebuilding?
Yes.
Get a cheap SP MK2/3/200 take it apart and put it back together with the parts diagram in front of you. Then do the same with a MK5/10. Next move on to a balanced diaphram first stage. Do the same with a few second stages. You'll be surprised how easy it is.
The Dive Rite Manuals are online and easy to follow.