I'm not sure that I could do both at the same time. For what it's worth, my sober from alcohol life is six months to the day of my stop smoking date. In that way the date of my sobriety is doubly important to me!
Think of the decision to stop drinking as a step toward eliminating other bad habits. This is how I have approached my decision to stop smoking. At this point, I hardly ever even think about smoking. I knew it was time to take my healthy living quest to the next level!