Congrats Dave! If it were mine (and what I am about to suggest has worked for me on this condition) I would use mineral oil and 000 steel wool. The trick is the generously apply the oil and CAREFULLY rub the black area until it becomes less black. Soaking it in anything acidic will only pit it more and I do not recommend it.
This is what I do, and have had acceptable results with it. No guarantees however.