Scrub the piece of furniture with a wire brush. Scrub with enough pressure to remove any flakes. Be careful not to scratch the paint if it is in good condition and you don't want to repaint.
Put on your safety glasses and rubber gloves. Dip a piece of fine steel wool into kerosene to remove rust stains (if there are any) after the flakes are gone.
Disassemble the furniture, if needed, to get the rust out of the joint areas. Rub the rust off of all the small pieces you may have removed.
Apply a coat of liquid wax to the furniture. The wax will help protect your furniture from future rusting.
Put your furniture back together. You may need to take the piece(s) to a professional welder if there has been breakage caused by rust.