Clean 1 pound fresh mushrooms with a damp cloth, and scrape the top layer off the mushroom stems with a knife. Cut the mushrooms into larger chunks, about ¾ inch in size. If you find any wormy spots, set those pieces aside; they should not be used in the Smaženice.
Peel and finely chop 2 small onions. Heat 1 Tablespoon lard or oil in a heavy skillet over medium-high heat. Fry the onion until it starts to turn golden, stirring regularly.
Now add the sliced mushrooms to the skillet, season with ½ teaspoon salt and ½ teaspoon ground caraway seeds. Cook while stirring until the mushrooms begin to sweat, which takes about 5-6 minutes.
Add 3 Tablespoons water, cover with a lid, and let it simmer for 5 minutes.
Remove the lid and reduce the heat to medium-low. Add 3 eggs, stirring well, and cook until they thicken. Scrape the bottom of the skillet periodically with a wooden spatula, stirring the eggs, until soft curds form.
Don't let the eggs cook for too long, as they can dry out! The texture should be fine and creamy. Now, remove the pan from the heat, and season with ¼ teaspoon ground black pepper and salt to taste, if necessary.