Getting rid of the cigarettes you have doesn't mean that you can't just go get some more, that won't work. And cold turkey is rather difficult to do. When I was trying to stop smoking, I started with the cold turkey method. I tried three times. I would just stop, but it was so bad that I would just pick it up again and I would start smoking more that I did before I tried to quit. Go with the gradual reduction as Big D said, it's easy and it works very well, even if it does take a little time.