Hi, mine broke here too, I just repaired the wire by soldering back together, then insulating with het shrink. Otherwise you can buy a new/used switch complete with cable.
The trickiest thing was removing the switch, I bought a "tool" from ebay for about £3 in fact all it was just a bent screwdriver, but it did have insructions. But I guess you have managed that bit already.
Steve Tucker
January 2008