A lid structure for use with a container for storing personal care products is disclosed. The lid structure includes a lid-activation button that when pressed allows the lid top to rotate about the lid base giving a consumer access to the contents of the container. Additionally, the lid-activation button functions so that the lid top is released independent of where the lid-activation button is pressed by the consumer. To create better and more consistent opening of the lid top portion, an inner longitudinal edge of the lid-activation button may be attached to the lid bottom via a living hinge that is formed integrally with the lid base. A strengthening rib is attached to the living hinge that keeps the main body side of the living hinge immobile and encourages the button side of the living hinge to flex when the lid-activation button is depressed.