I am glad everything went well at your first meeting. Please don't be to hard on yourself for not sharing....I couldn't get anything other than "My name is Cathy and I am an Alcoholic" out for a few weeks, then one day, I started talking (I felt as if I were speaking another language...even asked if anyone understood a word I was saying!!) and could stop, can't remember one word I said to this day!! Everyone seemed to understand though..LOL. After that, it became easier to share...now....well, I never shut up!!!!
As for what meeting you should attend, that is a question only you can answer. It is where ever you feel most comfortable. I hate to say this, but some old timers in AA might try to make you feel like you are in the wrong place...but you are right...it is all the same...Alcohol IS a drug!!!!
Good Luck...Cathy