The purpose of this talk is to introduce a new forcing method from a joint project with Daniel Iosub called "Shuffling", and explain how it is used to obtain new consistency results involving different square principles.  Given a poset P, the shuffling method aims to form a related poset that captures certain essential generic sets added by P while avoiding other undesirable ones. After introducing the method, I will explain its connection with square principles and how it is used to answer questions by Jensen, Cummings and Friedman about the failure of the global square principle, and questions about the points at which squares fail.