In almost every graduate set theory text there are some parts about equivalences of $AC$, its consequences, some axioms like $AD$ which imply $\neg AC$, some well-known axiomatic systems which $AC$ fails to be true in them, some forcing construction like Solovay's model which force some mathematical property in $ZF$ via violating $AC$ , etc.
Let us define all information like what stated in above paragraph as general knowledge of any working set theorist about $AC$.
On the other hand there are some more advanced material about $AC$. Such material are just of interest of those who want to work specifically on different aspects of the axiom of choice or in the context of choice-less set theory.
Let us call all those set theorists who have no information more than what every working set theorist knows about $AC$, as dummies (with respect to choice-less set theory of course!)
My question simply is:
Question: What are nice references on choice-less set theory for dummies from introductory to advanced level? Which are more essential to become familiar with this field in the professional class?
Remark: I work on interactions of large cardinals and forcing and my main motivation for being interested in choice-less set theory is based on study of Reinhardt and Berkeley cardinals which are very large cardinal assumptions inconsistent with $AC$, with a (hopefully) rich theory within $ZF$.