Peter, your story really resonated with me. For many years (over a decade, really) I hid how much I drank from everyone: family, friends, and even my current partner. I was a binger and also somewhat of a secret drinker, although I suspect that it was less of a secret than I thought it was to some in my life.
I, too, advocate speaking to your doctor. It was something that I did, and in fact, my doctor was really the first person to whom I really expressed my concerns about drinking. It felt safe given that she is a health professional and there is confidentiality there, and she also pointed me to some resources.
It does get so much better and sometimes faster than you could ever imagine. I'm inspired by your courage to take the first step!