Place 6 cups water in a stir-fry pan or wok; bring to a boil. Add noodles; cook 4 minutes. Drain and rinse with cold water; drain well. Place cooked noodles in a large bowl. Add 1 teaspoon oil; toss well. Set aside.
Combine 3/4 cup water, soy sauce, fish sauce, and brown sugar; set aside.
Heat 1 teaspoon oil in a stir-fry pan or wok over medium heat. Add eggs; stir-fry 1 minute. Add eggs to noodle mixture. Heat 1 teaspoon oil in pan over medium-high heat. Add chicken and garlic; stir-fry 5 minutes. Add to noodle mixture. Heat 1 tablespoon oil in pan. Add shrimp, onions, and paprika; stir-fry 3 minutes. Add the soy sauce mixture and noodle mixture to pan; cook 3 minutes or until thoroughly heated. Remove from heat; toss with sprouts and cilantro. Sprinkle with peanuts. Serve with lime wedges.