Hi!
Congratulations to your brave step!

I know that it takes a lot of courage to admit an ED to the parents- or it was just that complicated in my case
Your dad reacted well in my opinion.
I really would suggest to give them some things to read about the BED and/ or ED in general.
Maybe they need a bit time to figure it out- and to admit that their daughters is seriously ill and they had no idea.
But itīs so good to read that your Dad seems to "got the point"!! As my parents found out about it, they werenīt so nice...I guess they never understood that itīs NOT ABOUT DIETING!! My Dad told me, that I was just to lazy, dumb and whatever to stick to a diet and exercise regime, thatīs why I chosed that ED stuff as excuse. He never understood that it is AN ILLNESS, not a lack of willpower.
Being through relative bad expiriences, I would suggest talking to your mother once again...My mother always thinks that giving diet tips would be helpful to me...So from "Oh, WE are doing a diet together now!" to food advices, to "OH NO, we are not buying THAT! WE donīt eat that anymore!" and lengthy discussions in the supermarket.
That was not good for me.
But you have to be aware of the fact that your family could monitor your eating habits in the next time. Maybe there are going to be very cautious, asking you all the time if you had a binge etc. Could be stressful, but you shoud remember that they just do it because they are worried about you and they love you!
But admitting the problem to the people close to you is such a huge step on the road to recovery!! You can be very proud!
The same with throwing away your laxatives! Very good!
Kate