If you can cook high-omega-3, pasture-fed brown eggs much like regular eggs. The main goal is to avoid overcooking, both for texture and to minimize unnecessary oxidation of the fats.

Best way to handle the eggs

• Refrigerate them at about 40°F/4°C or below, and keep them in their original carton.

• Don't wash them again if they're commercially washed; washing can remove the protective coating.

• Handle them normally, but discard eggs with cracked shells.

• For best quality, use them relatively fresh.
  

Best Cooking Methods

Soft or medium-boiled

Gives you a cooked white while keeping the yolk relatively soft.

Poached

Excellent if you want minimal added fat and gentle cooking.

Soft scrambled

Cook over low to medium-low heat, stirring frequently, and remove from the pan while they're still slightly glossy. They'll continue cooking from residual heat.

Fried / sunny-side up

Also good. Use moderate heat rather than letting the oil get smoking hot.

Hard-boiled

Completely fine from a safety standpoint, but prolonged/high heat isn't necessary. The yolk can become dry and develop the familiar green-gray ring.

What To Avoid

Try not to burn or heavily brown the eggs, particularly if you're specifically buying them for their omega-3 content. High heat and prolonged cooking can promote oxidation of fats. You don't need to eat them raw to preserve omega-3s.

If you're concerned about food-borne illness, especially with children, older adults, pregnancy, or a weakened immune system, the safest approach is to cook eggs until both the white and yolk are firm.