Excerpts from the 66-year-old's book Always Managing: My Autobiography have been published this week, giving some insight into Redknapp's long career in football management.
"I want every penny to go to Bobby's charity," the Daily Mail quotes Redknapp as saying. "He was very close to me and I loved him.
"His wife, Stephanie, is a marvellous woman who has dedicated her life to promoting the fund. This disease impacts on so many families. I hope this money can help raise awareness."
Moore died of bowl cancer at the age of 51.