Deviled eggs can be made up to 12 hours ahead. Refrigerate, covered.
No-mess method: Combine filling ingredients in 1-quart plastic food-storage bag. Press out air and seal bag. Press and roll bag with hand until mixture is well blended. Push filling toward bottom corner of bag. Snip off about 1/2-inch of corner. Squeeze filling from bag into egg whites.
Tailgate tip: Prepare filling in plastic bag, as above. Carry whites and yolk mixture separately in cooler. Fill eggs on the spot, pressing filling out of snipped corner of bag.
Very fresh eggs can be difficult to peel. To ensure easily peeled eggs, buy and refrigerate them a week to 10 days in advance of cooking. This brief “breather” allows the eggs time to take in air, which helps separate the membranes from the shell.
Hard-boiled eggs are easiest to peel right after cooling. Cooling causes the egg to contract slightly in the shell.