Initially when I first stopped drinking I either lied and said I was on medication if I had to explain or my preferred option was to completely avoid situations where I would be challenged or have any cause to explain.
I've come across a lot of people in the early stages of recovery who make a massive fuss about saying they don't drink who end up drinking again because their mouths were saying one thing and their heads were saying another.
Its whatever works for the individual though, theres no right or wrong answer.
I think the only constant thing though is that you have to build your strength in your recovery and whatever helps you do that is the right way to approach it.