Hi.
For what it’s worth, my twopence worth of advice is definitely DO NOT use steel / wire wool on the chrome pieces. Think about it, you are rubbing steel across across a shiny surface and it will scratch it. (I did it years ago witha Brillo pad on my Speed M4 mudguards, so I can speak from a position of having already found it doesn’t work! They rusted twice as bad as soon as they got damp) I have heard the alumiium foil works well or use a brass wire brush (Not brass-coated steel – test with a magnet to confirm!) Brass brushes are not as easy to find these days but autojumbles and sometimes car boot sales might be a source. Once you have all the corrosion removed, Solvol Autosol chrome cleaner is good for the finishing touch.