Hello Eleanor. Making classic family recipes should be a joy, so I completely understand how frustrating it is when eggshells refuse to release cleanly.
From a culinary perspective, the most critical factor is the initial temperature of the water. Many people start eggs in cold water and bring them to a boil together. When you do that, the proteins in the egg white heat up slowly and fuse directly to the inner shell membrane. To prevent this, always start with hot water.
Here is a reliable method that will give you easy-to-peel eggs every time:
1. Bring a pot of water to a gentle rolling boil over medium-high heat. Make sure there is enough water to fully submerge the eggs.
2. Using a slotted spoon or spider skimmer, gently lower your cold eggs straight from the refrigerator into the boiling water one by one. Lower the heat slightly to maintain a gentle simmer so the eggs do not vigorously bounce around and crack.
3. Simmer large eggs for about 11 to 12 minutes for a firm, creamy yolk that is ideal for egg salad.
4. While the eggs are cooking, prepare an ice water bath in a large bowl with equal parts ice cubes and cold water.
5. As soon as the timer goes off, transfer the eggs immediately into the ice bath. Let them chill thoroughly for at least 15 minutes. This rapid temperature shock stops the cooking process, contracts the egg slightly inside the shell, and creates steam separation between the albumen and the membrane.
6. Once fully chilled, gently tap each egg all over on a flat counter to create a fine network of cracks, then peel under cool running water or submerged in the bowl of water. The water helps get underneath the thin membrane so the shell slides off in large pieces.
If you follow these steps, your egg salad preparation will be smooth and effortless. I hope this helps you and your family enjoy a wonderful dinner together.