AEFW is not the end of the world! I picked them up when I put a new Purple Nana in my tank.
I posted a thread about my infestation and got plenty of help. I recommend that you pick up a bottle of Coral RX Pro. I paid $30 for it and it worked great for me. Fill a bucket with a gallon of aquarium water and add 30 drops of Coral RX to it. Pull all your corals and place them in the solution for 5-10 minutes. I always split the difference and soaked them for 7. Use a turkey baster to circulate the water in the bucket and direct it over the corals. Use a toothpick to gently scrape at the eggs. Once your time is up, place the corals into another bucket of water from your aquarium and use that turkey baster to rinse off the corals. Place them in a frag tank if you've got one or on a frag rack in the main tank if you don't.
Do this every day for a week, 4-5 times the second week, 3-4 times the third week, and 2-3 times for the next 4-5 weeks. Continue to monitor your corals and dip for a longer period of time if you like. The main thing is to dip corals long enough to break the life cycle of the flatworms. It worked for me and it can work for you. Good luck.
Mike