In a large bowl mix together a dressing of mayonnaise, chives, crab boil seasoning, hot red pepper sauce, red onions, lemon juice, mustard, salt and pepper.
Place crabmeat in another bowl and pour on enough dressing to coat. Toss crabmeat very lightly - try not to break the crabmeat into small pieces. Let sit in refrigerator.
Scoop a small indentation in the top of each artichoke heart to serve as the vessel for the salad. Spoon some salad into each artichoke heart, top with a piece of avocado, and sprinkle with some of the chopped parsley.