For a surgery? Generally if the surgery requires a pediatric anesthesiologist, the case will be assigned to one. General anesthesiologists also do pediatric cases, though typically not neonates or those with complex medical problems. Are you looking for one or planning for the pre-op visit?
About what? I don't understand the question. Talk to them before the day or surgery and ask your questions.
Ask the MD. Ask the anesthesiologist about their experience with pediatric patients. Some have specifically done a pediatric fellowship (extra training) while others of us have worked with pediatric patients for many years. You have to be comfortable with the physician, not just their credentials.