Open the can of Dungeness crab, draining the juice from the can, if desired. Put the crab in a large bowl and toss well to combine and break up the meats. Pick out any shell or cartilage if found.
Add the lemon juice, celery, onion, mayonnaise, fresh dill and salt and pepper to taste.
Combine the crab with the ingredients, tossing gently. Transfer crab salad to a glass jar and chill. . Serve over fresh baby lettuce, sliced tomato or dollop it into a halved and pitted ripe avocado.