Apparatus which can be manually handled and operated for dyeing and/or bleaching hair strands by means of a foil for producing foil strands in hair of a head, comprising - a support plate having a support surface, the support plate being designed in such a way that a strip of the foil can be placed on the support surface and a strand of hair or a plurality of strands of hair can be placed next to one another on the strip of the foil resting on the support surface in order to apply hair dyeing or bleaching agents thereto; - a foil roll holder which is designed to support a foil roll of the foil and is arranged in such a way that the foil can be pulled over the support surface from the foil roll supported by the foil roll holder; - a storage container for hair dyeing or bleaching agents; - an application device which is designed to apply hair dyeing or bleaching agents to a strand of hair or to a plurality of strands of hair resting on the foil on the support surface of the support plate, and which can be moved for placing the strand or strands of hair on the foil; - a conveying device for conveying the hair dyeing or bleaching agent from the storage container to the application device; - a handle for holding and handling the device; - an operating element for operating the conveying device and/or the application device; characterized in that the apparatus further comprises: - a fixing device which is designed to press the foil resting on the support surface of the support plate onto the head at its free end which is pulled off the foil roll, and fix it there as a result; - a guide by means of which the fixing device is mounted so as to be movable in the direction in which the foil can be unrolled from the foil roll and pulled over the support surface of the support plate; - a grip for holding the fixing device. - a support plate having a support surface, the support plate being designed in such a way that a strip of the foil can be placed on the support surface and a strand of hair or a plurality of strands of hair can be placed next to one another on the strip of the foil resting on the support surface in order to apply hair dyeing or bleaching agents thereto; - a foil roll holder which is designed to support a foil roll of the foil and is arranged in such a way that the foil can be pulled over the support surface from the foil roll supported by the foil roll holder; - a storage container for hair dyeing or bleaching agents; - an application device which is designed to apply hair dyeing or bleaching agents to a strand of hair or to a plurality of strands of hair resting on the foil on the support surface of the support plate, and which can be moved for placing the strand or strands of hair on the foil; - a conveying device for conveying the hair dyeing or bleaching agent from the storage container to the application device; - a handle for holding and handling the device; - an operating element for operating the conveying device and/or the application device; - a fixing device which is designed to press the foil resting on the support surface of the support plate onto the head at its free end which is pulled off the foil roll, and fix it there as a result; - a guide by means of which the fixing device is mounted so as to be movable in the direction in which the foil can be unrolled from the foil roll and pulled over the support surface of the support plate; - a grip for holding the fixing device.