Hey, I can totally relate. I have binged for years and during most of that time was a normal weight. I then piled on three stone a couple of years ago, possibly due to a more sedentary lifestyle, possibly due to more frequent binges. I can't really compare my binges now to five years ago as I try to block them from my mind. I am now trying to lose the weight, but it's difficult.
In a typical binge, I will have a large takeaway pizza, cookies/brownies/ice cream, fizzy drink, packet of crisps, packet of sweets, pasta, cheese, toast. I can easily eat 4-5,000 calories during a binge day.
The only thing I can say (from my own experience) is DO NOT DO THE 5:2 DIET. Loved it at first and lost about a stone (I was normal weight at the start). After about 6 weeks, it started to majorly fuck with my head and my eating. I would become absolutely ravenous on feed days and would binge uncontrollably. It made my binging so much worse than it had been and the weight went back on within about a week, with more to spare. I felt totally out of control. I have read since then that the diet is not recommended for those with binge eating disorder. For me, the 5:2 was the work of the devil and even now, I think my binges are more frequent to pre-diet.
Sadly I can't offer any genius cure as I am still struggling now. The only thing that seems to help is taking things one day at a time. So in the morning, I tell myself that all I need is to get through that day and I will worry about the rest later. That seems easier than saying 'I will never binge again', because I know that at some point, I will slip up.
Part of my problem is also that I have very black and white thinking and if I had a bite of a cake, say, I would think 'fuck it, I have ruined everything now, so might as well have the whole thing'.