Sweet potato burns on the outside before it cooks through if it goes straight into the pan. A few minutes in the microwave first softens the middle, so the pan only has to do the crisping. Spread the cubes out in one layer and leave them alone.

This is the kind of breakfast that keeps you full until lunch: about 21g of protein, most of it from the eggs, 8g of fibre from the vegetables, and slow carbohydrate from the sweet potato.
Leave the skin on. The skin adds fibre and crisps well in the pan. The deep orange colour comes from beta-carotene, which the body turns into vitamin A. Kale adds vitamin K, folate and more fibre.
Eggs are one of the few foods that contain vitamin D, and the NHS sets no limit on how many eggs you can eat as part of a balanced diet. For most people, the saturated fat in the wider diet matters more for blood cholesterol than the cholesterol in eggs.
If you want more protein, add a third egg each or serve with a spoonful of Greek yogurt. For women around menopause, a breakfast with plenty of protein helps protect muscle and keeps hunger steady through the morning: see menopause weight loss.
For another one-pan egg breakfast, try the shakshuka with spinach or the Turkish eggs with garlic yogurt.