I have a drinking problem
Have you considered getting help?
I don't need help, I'm not an alcoholic.
If you think you have a problem, perhaps you are an alcoholic but it is good you are starting to see there is a problem. If you ever feel you need it, don't be afraid to get help!
I don't think I'll need to get help, I don't think its that big of a problem,
The first step is admitting there is a problem, I know it might be difficult to take steps after admission and you may not want to truly think about help right now,  but be proud that you are recognizing and issue and please don't be afraid to get help!