And even if you are eating whole eggs, as long as you control your
carbohydrate intake so that you don't exceed your
glycogen storage space (15g/kg of lean body mass) you won't store the fat you eat as saturated fat and cholesterol. That's why people on ketogenic diets eating high amounts of fat actually lower their cholesterol levels. But, as the carbohydrate intake goes up - ie bodybuilder or powerlifter eating lots of carbs for bulking the fat intake NEEDS to go down. Can't eat high amounts of both and be healthy.
Another thing, if you don't like just egg whites or the colored egg product - simply separate them as Lady C described and include one yolk - colors it, and keeps the fat pretty low.
Or do like I do, eat cereal and a protein shake for breakfast. There are many ways to meet your needs - you've just got to find the one that works best for you.