It's not too early to make your list and set up interview appointments now.
Ask a out their style. Do they prefer to wait and see or treat immediately?
Ask about their opinion of breastfeeding. They are legally required to tell you that it is best, but as they answer you will get a feel for how strongly they feel about the matter and how that will work with your ideals. If you won't be nursing you don't want a doctor that will give you grief everytime you come in. On the other hand, if you will be nursing, you don't want a doctor who will force you into formula at the first sign of trouble.
Ask about after hours care, same-day appointments and well-visit vs sick visit waiting rooms.
Find someone you can talk to easily and who listens well. Ideally someone who trusts mother,a intuition as a "symptom".