1. Refrigerate Immediately. Make sure that you always refrigerate your eggs as soon as you get home in its original container.
2. Don’t Wash and Do Store. Do not wash the shells and do not store them on the door as this constantly exposes them to room temperatures every time the door is opened. Instead store them inside the refrigerator.
3. Look for Air Pockets. Hold your white eggs up to a light and you will be able to see the air pocket. Remember, the less air pocket as possible, the better. This is because air builds up inside the eggs as it matures.
4. Pay Attention to Dates. Lastly, make sure that you pay attention to dates. According to the FDA, you should be able to use them within 4 weeks from the packing date without losing nutritional quality.
http://www.eggsaladgourmet.com/storing_eggs.html
Yes, the original carton is best for storing eggs. The paper cartons are best.
I stored eggs in a Tupperware container, designed specifically for egg storage. I noticed mold began to grow on the shells within a week of purchase. Seems the Tupperware doesn't allow for ample air circulation.
As stated in the posted article, the built in door egg holders expose the eggs to room temperature. This is not good for eggs.
Remember...eggs are good food, and are excellent ingredients in various food dishes.