A domestic refrigeration appliance includes an ice and/or water-dispensing device for non-crushed ice pieces or ice flakes created therefrom by crushing or water created in the appliance, depending on an operational setting of a medium creation facility. The dispensing device has a user-actuatable dispensing lever movable to start dispensing. An adjustment facility adjusts an operational setting of the creation facility. An input facility has user-actuated controls selecting a medium dispensing type before actuating the lever. A control unit adjusts the adjustment facility depending on a signal created by actuation of a control and associated medium dispensing type, before actuating the lever to change the operational setting of the creation facility if the creation facility coupled with the adjustment facility is positioned in an operational setting different from that required for the selected medium dispensing type. A method of operating the appliance is also provided.