Cast iron is fantastic for eggs. After you season it well and use it for a bit it's almost as non-stick as a teflon pan. There's videos of well seasoned pans cooking eggs without oil. You can throw metal utensils at it, and just wipe it down with some oil when you're done. Holds heat well, sears well, goes into the oven. If you're only going to have two pieces of cookware, a stainless stock pot and lodge 10" skillet is all you really need.