That should clean up for you, Mickey. By the way, I mislabeled my photo above; that was after I restored it, not before. Here are some before photos:
And after:
I used a paste of Barkeeper's Friend and water to rub into the rusted surfaces of the wheel rims, spokes, seatpost, cranks, chainwheel, handlebars, all chrome-plated parts. That Sturmey-Archer hub didn't need much more than a good wiping, as it was covered with grease or oily dirt. You could also soak these pieces in an oxalic acid bath, which is less labor-intensive.