I was referred to the Eating Disorder service in my area. It was a programme of 8 sessions, initially being seen once a week and then the last four sessions were fortnightly. I felt I was beginning to get somewhere, but they decided not to offer me any more as I've had quite a lot of therapy on the NHS in the past.
They did weigh me each session and spoke about trigger foods, eating habits, etc. They will get you to keep a food diary, which you bring to each session. You have to be honest. I felt so ashamed telling them what I ate and having them look at my food diary, but I promise you that you start to overcome that feeling. I just kept reminding myself that this is what they do, this is their job and they deal with it every day. I never once felt judged.
The book that they worked from and recommended that I buy is called 'Overcoming Binge Eating' by Dr Christopher Fairb u r n. It is a great book and contains a self-help programme. Apparently it's recommended to help treat binge eating and bulimia by the NHS and many therapists use it. I worked through it in conjunction with therapy. You go at your own pace and you can repeat steps if you feel you need to.
You've already made a big step in telling your therapist about your struggles with food and it also sounds like you can identify trigger foods, events that make you want to binge. I honestly do believe that you can make changes and it can get better x
*Apologies about the spacing on the surname - it wouldn't let me type his surname!