Alton puts his eggs into a bowl, as allows for a more controlled pour into the fry pan. If you crack the eggs and dump it in directly from the shell, it tends to spread too much, getting those very thin areas of the 'white' that overcook.
Crack your egg on the counter, not against the lip of a bowl, to avoid getting bits of shell.
Key to tasty eggs? Good quality ones to start w/. From a local farm if possible, or at least organic free range. Not a hippie-dippie thing. They just taste better. And LOW heat. High heat (and/or too much time) turn eggs into rubber, as well as the sticking problem.