To poach eggs, you’ll first need to bring some water to a boil. Fill a pot several inches high with water, and bring it to a boil on your stove. Crack one egg into a small dish or bowl. Once the water is boiling, pour the egg into the center of the pot and use a heat-safe spoon to stir the water around the pot several times. Remove your spoon and allow the egg to cook for 3 minutes for a soft yolk or 5 minutes for a firmer yolk.
Once the egg is done, use a slotted spoon to transfer the egg to a serving dish. You may swirl the water in the pot to remove any loose egg whites that are hanging off the egg. Repeat the cooking process for as many eggs as you’re making. When the eggs are done, make a quick high-fat cheese sauce. Begin by melting the butter in a pan over low heat on your stove. Stir the cream into the melted butter, and heat the two ingredients until they’re emulsified and just starting to bubble.
Reduce your heat as necessary so the sauce does not reach a simmer. Over low heat, melt the cheddar cheese in the pan until your sauce comes together. Stir to help the fats emulsify into a thick, extra-cheesy sauce. Once done, pour the appropriate amount of cheese sauce over each poached egg. At your discretion, you can garnish your poached eggs with seasonings or fresh herbs. In the final photo here, you’ll see the eggs garnished with pinches of salt, pepper, and minced chives.