Yep, what Andy said. Fresh eggs peel harder when they are hard cooked. There are some tricks to cooking them, adding vinegar, different things to help them out.
I just had someone bring me some fresh eggs the other week. Unbelievable the difference. I noticed that on the first burp
when I didn't have that egg taste in my mouth. Excellent taste! Both ways!
Depending on what the chickens are free ranging on can affect the taste, too. Don't want them getting into a garlic patch! But I couldn't really tell any difference myself between the cheap store bought eggs and the more expensive ones.
I've got about thirteen more weeks before I start enjoying fresh eggs all the time
but I'm going to monitor what they eat for egg consistency