Make the Pad Thai sauce by mixing together all the ingredients. Taste test and adjust accordingly.
Heat the vegetable oil in a wok or other large pan over medium heat. Add in the chopped shallots and garlic and fry for a minute.
Add in the broccoli florets and sliced bell pepper, and fry for 2-3 minutes until the broccoli is slightly softened.
Add in the Pad Thai sauce, mix well, and cook for a minute.
Add in the cooked noodles, mix well, and cook for another minute.
Move the vegetables and noodles to one side of the pan. Break the eggs straight into the empty half of the pan, break the yolks and mix carefully without mixing it in with the vegetables and noodles. Let the eggs fry until just cooked, then mix it in with the rest.
Add in the bean sprouts and chopped spring onions and mix well. Plate, and top with chopped peanuts, chili flakes and a wedge of lemon or lime.