Electrical work, please

 Here's what is under my kitchen sink: A switch that runs the disposal and an outlet box that is only live when the disposal is running, which is not helpful.

 Our big island has no outlet that I can use to run an appliance. I would like to have an outlet right in front of the sink, if possible. I can easily fit my hand under the face board, between the sink and the back of that face board. If that is not doable I would gladly settle for an outlet SOMEWHERE on the island.