Go to B&Q and look for some brick and concrete cleaner, ignore anything that says green on the label.
You want something that contains phosphuric acid, don’t panic it’s one of the friendly ones.
Mix this up 4:1 with water and lob the chuck in any anything else that’s gone rusty.
A day or two later it will come out with a matt grey sheradised looking finish and no rust.
You can do it in the workshop the fumes don’t attack metal like some of the other acids.
i have a tub of it stood on the floor at the side of a very large dividing head and it’s not touched in in over a year.
I got mine to descale black steel before machining as the scale was playing havoc with small drills.
The acid can be disposed of down the drain after use or thrown onto the path or yard, after all that’s what it was made for.
John S.