Chicken Chow Mein

If it contains noodles

Brocho before eating the noodles: Borei Minei Mezonos

Brocho before eating the rest (chow mein):

If the chicken is the majority: Shehakol Niyeh Bedvoro

If the vegetables are the majority: Borei Pri Ha'adama

Brocho after eating the proper shiur of this: Al Hamichya and Borei Nefashos

If it does not contain noodles

Brocho before eating this:

If the chicken is the majority: Shehakol Niyeh Bedvoro

If the vegetables are the majority: Borei Pri Ha'adama

Brocho after eating the proper shiur of this: Borei Nefashos

Source: The Laws of B'rachos (page 362)