Chop the broccoli into small bite-sized pieces, and begin steaming. Remove from heat when still a bit crisp, but mostly cooked.
If using broccoli, cut into florets. If using Chinese broccoli, cut into roughly 1" pieces. Steam them until cooked but still crisp.
If using bok choy or brussels sprouts, cut and discard stems, then slice into thin ribbons.
Add a splash of oil to the same pan that cooked the chicken, and add 2 Tbsp minced garlic. Fry for 30-60 seconds or until fragrant.
Add the bok choy or brussel sprouts, and add the steamed broccoli or chinese broccoli. Fry until crisp and charred. Remove to a plate.
(Option 1) Heat a pot with water with 1 tsp salt. Once boiling, add the egg noodles and cook approx 5 minutes or until noodles are al dente. Strain and set aside.
Add 2 Tbsp oil to the pan and allow it to heat up. Separate the noodles to a loose nest and add to the pan. (Be careful if you boiled the noodles, oil may spit.)
(Option 2) If you did not boil the noodles first, add 1 cup water to the pan, making sure to swish it around to wet all the noodles. Let the water cook mostly off before proceeding.
Add ¼ cup soy sauce, 2 Tbsp rice vinegar, and let it cook down and absorb into the noodles.
Add an additional 1 Tbsp of oil and let the first side of the noodles get crisp.
Carefully flip the noodles over in the pan, and add the remaining Tbsp of oil and crisp the other side.
Add remaining ¼ cup soy sauce, 2 Tbsp rice vinegar, and ¼ cup hoisin sauce. Add additional sauce to taste if desired.
Once crisp, remove the noodles to a plate, and top with chicken and veggies. You can toss the chicken and veggies back in the pan to heat them through if they need to be warmed.