For the overwhelming majority of people, eggs will have a negligible impact on cholesterol levels. The effect, if any, will most likely result in an increase in HDL, the good cholesterol. Eggs are very rich in lecithin, a fat-busting emulsifier, and they are indeed one of the perfect foods.
I'm really surprised that this myth about eggs has still not entirely been put to rest once and for all. It all started over 60 years ago when the Cereal Institute sponsored a study in an attempt to show that feeding eggs to animals and humans would raise their serum cholesterol level. The only problem was that they used dried egg yolk powder, not fried or poached eggs, as eggs are usually eaten. Dried egg yolk powder is an oxidized form that is toxic to the blood vessels. So, all of those early studies are completely invalid. But it's amazing that the myth persists to this day. So, I wouldn't worry about eating eggs. In fact, I eat two scrambled eggs three times a week myself.