How Are We Addressing Rusty Inner Bumpers?

For now I am going to slap on the original bumpers belonging to the '65 Formula S (don't have the means to restore 'em right now). I can shine up the chrome and little beforehand, but what to do about the "hidden" rust on the inside? Thank you.

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Knock off the big chunks, scuff up the surface rust with some sand paper or Scotchbrite and shoot it with some rust converting primer then paint if you wish.