How to cook egg in fried rice?

Following some recipes, I can cook the egg separately and then add it to the fried rice towards the end. However, I've seen Asian cooks add whole eggs directly to the rice and stir it in. This would save me a lot of work, but whenever I've tried it, the rice gets coated with egg slime, or the egg sticks to the pan, or it just doesn't work out. Any tips or advice welcome!