An enhanced auto-zero circuitry and technique for reducing the effective input offset voltage of an amplifier. The circuitry includes a multi-phase auto-zeroing amplifier circuitry including several capacitor and switch components and a switch controller circuit. The switch controller circuit is configured to provide control signals for controlling the switches, where during a first sub-phase of an auto-zero phase, multiple switches are turned on to store an amplifier input offset coarser compensation charge on the input capacitor, and where during a second sub-phase of the auto-zero phase, at least one switch is turned off before turning on another switch to store an amplifier input offset finer compensation charge on the input capacitor via the first auto-zero capacitor.