Basic model theory texts are Marker's Model Theory; An Introduction and A Shorter model theory by Hodges. Maybe the one on Mathematical Logic by Cori and Lascar too. I'm not sure you need a book which specifically treats this aspect but a general understanding of what a theory, and a model of a theory (e.g. ZF or ZFC) is should do (the first chapter of Marker's book covers this). Once you know the basics then just think of a language with a binary relation symbol (for set membership) and formulas (in the language) for the axioms of ZF. Then you can think of a model of this etc...