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Taxi, I'd purchase a little inexpensive non stick skillet dedicated to nothing but omelets.
An inexpensive one, maybe. I don't have much space in the pots and pans drawer.The Simply Calphalon omelet pans I have are great and they are sold with glass lids.
That Calphalon omelette pan isn't what I call inexpensive. A quick search and the cheapest I can find is CAD 47. I'm not sure I like that kind of omelette that much.