I'm like you. I kept the extent of my drinking problem hidden (or so I thought) and am keeping my recovery private as well. When I've shared with my husband in the past he was too eager to downplay it and seemed to believe that one day I would be a normal drinker who just had to moderate. When I relapsed after 14 months of sobriety, he didn't bat an eye. I feel safer keeping my sobriety to my self. For me it is very private. Although there are times I do wish I had someone close to me that I could confide in and feel safe in that decision. At this point I don't think I'm ready to share how deep this runs and honestly I don't believe that those around me are ready to hear it.
Welcome and best wishes to you in your recovery.