Your local B&Q or Home Depot can sell you braided cord specifically for irons.
Just below the cord on the iron there should be a couple of screws. Remove these and the plate that covers the electrics.
Once you have the plate off it's as easy as rewiring a plug. Just make sure to make a note of where each wire goes before you disconnect anything inside. Take a snapshot for reference if you can.
Big Softy, June 2006