Omelets have that just-right texture ideal for fledgling eaters; given how sensitive they can be to pretty much everything (pan, heat, movement, et al.), however, they are less ideal for fledgling cooks. Thankfully, there’s a quick and dirty method, one so easy and foolproof that it will get you a solid egg each time you make it: high heat and brevity. (Fun fact: what follows is basically the same technique used at Chinese restaurants to make the chopped eggs in your fried rice!)
While it heats, beat an egg with a splash of your chosen liquid (see Ingredients) and your seasonings (if using) until blended.
Chop into small strips for 6-8 month-olds and small squares for a 9-12 month infant. Season or sauce how you see fit, but be sure and wait until egg has cooled before serving.
Once your child is familiar with the taste and texture of the egg, you can begin to add ingredients into the omelet, such as cheese, bits of meat, and so on. To do so, drop in the ingredients right after you’ve covered the surface with the egg; do so in the area of the pan that appears most cooked.
For you–and, eventually, your child–this omelet also makes for an easy and very satisfying breakfast sandwich. Just cut and toast bread, bagel, biscuit, et. al; place the omelet on top of the bottom piece of bread; and top with avocado, bacon, and/or hot sauce.