I binge eat, and I haven't stopped completely yet BUT I've lost over a stone and I eat healthily most of the time, and I'm now able to start afresh after a binge and go back to good habits.
You probably already know what you need to do, and it's really, really hard to do if you've been eating instead of dealing with difficult emotions for a long time. You need to let yourself be happy, and you need to care for yourself as you would care for someone you love, and accept that actually your body is worth loving and cherishing and nurturing.
I don't know what you need to do to get there, or what that path will look like. For me, it was kick-started by a long illness which made me realise that my family relied on me enough that taking care of my health was actually part of taking care of them.
And the first (and actually the most important) step towards this wasn't changing what I ate or taking more exercise, but making sure I got enough sleep. Exercise followed on from sleep, and food was the very last thing I change. I also only weigh myself four times a year. That way I focus on the good stuff, and I always see my weight going down, and it's easier to pick myself up and get back into good habits when I go off the rails because I know a bad day isn't enough to fuck up a generally good three months.
So my advice is to do whatever you need to do to get your mind in the right place first, whether that's therapy or CBT or starting to meditate or something else.
There is a thread on here for binge eaters. I stay away because I find it makes me worse, but it might be a good place to find sources of support.