Anything is possible Phoenix, but honesty is the best tool i've found to begin rebuilding my life sober. Think of it this way - you are already lying on a daily basis by hiding bottles, etc to conceal your drinking. Coming clean and admitting you need help can certainly only help you. Regarding finding a Detox, have you spoken with your doctor or perhaps your insurance company? I would imagine there are many, many options in NY.
You've made a great decision though - that's the first step - be strong and stick around.