Yep, someone else pointed that out to me. I also found this site:
http://www.guitaristonly.com/
Guy selling a stuff called 'Nut Sauce'...also sells 'string sleeves' (although he suggests that you can just use cable insulation too).
I found a piece of thin clear tubing, a little more rigid than cable insulation. Too thin to fit over the A and E strings but they weren't the strings that broke anyway. I put the tubes over all the others though. You can barely see it, and now the strings don't touch the metal at all.
Before that, I took my mini-drill and cleaned up the edges. Nothing to it, I just removed the notches that had been worn in over the years