Remove rust from painted frame

[moch]

Greetings forum folks!

I'm wondering if anyone has any good ideas about how to best remove light rust from the frame without actually going all out; I don't really want to disassemble the bike and can live with a scuffed paint job that welcomes stickers, but I want to nip the problem before it grows...

I figure I would need to remove !ALL the rust and then clear coat, right?

Should I just use dry sandpaper or is there some solvent that will eat rust off steel that won't chemically react with the paint around it?

I've just gotten through S.O.Sing the chrome and it is amazing how much rust just rubs right out to shiny chrome! Looking forward to reading your suggestions...