Don't worry about eggs. Just avoid processed foods. These foods have high levels of unhealthy saturated fats, trans fats, and other factors that increase oxidation and acidity in the body, which is what leads to the actual problems that we think of cholesterol as causing. Note: cholesterol in itself is not a harmful thing - it is a necessary component for hormones and other body functions. Cholesterol only becomes a problem when other factors come into play, like those caused by highly processed foods.
Examples of these foods include products of meat (like bacon, pre-prepared meat products in packages, anything with nitrates in it), most commercial breakfast cereals, and most packaged and pre-made meals in general. They contain problematic chemicals, preservatives, and other additives that deplete the nutritive value of the food and can wreak havoc as the body tries (unsuccessfully) to process them.
If you're just learning how to find healthy foods that don't raise cholesterol, I'd suggest checking the ingredients list on any food item you want to buy - if there is anything you can't pronounce or that isn't clearly the food item you are intending to buy, you should probably stay away from it. If you do this you will already be ahead of most of the population.
You might also want to read the Environmental Working Group's information on Chemicals in Food.
Links of Interest
James L Poole
I am a holistic health therapist: Emmett Technique practitioner, aromatherapist, nutritional therapist, and Reiki healer. This is my blog about natural healing.