Start by preparing and cutting all the vegetables and measuring your ingredients so that they are ready to go. Once you begin stir-frying, it goes very quickly.
In a wok or large saute pan, heat canola oil over high heat to almost smoking. While stirring constantly, 1 at a time, add in the peppers and onions, followed by the squash, zucchini, eggplant, garlic, ginger, sesame oil, and teriyaki sauce. Cook for about 2 minutes and then add in the remaining ingredients and seasonings, except for the snow peas. Cook about 2 minutes more. Stir in snow peas when done and remove from heat. Serve immediately garnished with kimchee, if desired.