K.K.
I know how you feel. It was hard to know where to start. I have a 14 month old so I went through this not too long ago. You can ask your OB/GYN, mine had a list of ones in the area and starred the ones that other mothers seem to like the best. You can also check adds in a community paper. Next start calling them and ask to set up an appointment if you feel comfortable from the conversation. They should always allow you to come visit the facility first! I ended up taking my little one to www.cmanva.com. I love it there. They have 2 locations and a ton of doctors, nurse practioners and even lactation consultants.
Some good questions to ask are: What type of after hours and weekend schedules do they have? What is the procedure for off hours? How do they feel about breastfeeding? (you want to feel comfortable with your decision whether or not you decide to do it)
I hope that helps! Good luck!