The most important thing is to have the family have dinner together. Then it's all about the symbolism in the food. The chicken is served whole, with feet and head attached, because serving only pieces is considered "broken" by the Chinese. The fish, head and tail intact, symbolizes a good start and finish to the year, avoiding bad luck and also a sign that there will be more food to come in the new year. Chinese broccoli or long beans are cooked whole to wish a long life for the parents. There are usually eight dishes served because in Chinese "eight" sounds like "to grow."
To prepare the filling
Place a wok or stir-fry pan over high heat. Add 1 tablespoon of the oil, swirling to coat the sides. Add the garlic and cook, stirring, until fragrant, about 10 seconds. Add the cabbage, carrot, chives, and red onion and stir-fry until the vegetables are tender-crisp, about 2 minutes. Add the shrimp, oyster-flavored sauce and sesame oil and toss until shrimp just begin to turn pink, about 1 minute. Transfer the mixture to a colander to drain. Set aside in a medium bowl.
To form the dumplings
Place 1 wrapper on a clean, flat surface, keeping the remaining wrappers covered with a damp kitchen towel to prevent them from drying out. Place 2 heaping tablespoons of filling in the center of the wrapper. Moisten the edges with the egg wash and top with a second wrapper and secure the edges. Starting from one end of the wrapper, slightly fold over the edge (like a pie crust) and continue folding around the dumpling. Repeat this process with the remaining wrappers and filling. Keep the dumplings covered with a damp kitchen towel to prevent them from drying out.
To cook the dumplings
2 tablespoons of the oil in a large, nonstick skillet over medium-high heat. Add half of the dumplings, flat side down, and cook, without turning, until golden brown, about 3 minutes. Add half of the water, reduce the heat to medium, cover, and steam until the dumplings are tender, about 4 minutes. Transfer the cooked dumplings to a plate, browned side up. Repeat the process with the remaining oil, dumplings, and water. Serve with a soy dipping sauce on the side.