I don't keep my recovery secret except professionally, and that's going to stop as well. Like August said, the gory details are unnecessary. The more people know, the more accountable I am. I can't hide behind any lies or shady coverups. Yet ANOTHER reason not to drink or use.
I'm not at all ashamed of recovery, and I think I project that attitude to others. Nearly all have been hugely supportive, as many have had their lives touched by someone's addiction, and they know how hard it is.
I had a problem, I dealt with it. End of story.
I hope your meeting goes well. The more comfortable you get in a program, I think the less it will matter who knows.