Hey Atxniner,
Sounds like we may be "neighbors".
I'm a single dad raising a 9yo daughter by myself because of her mom's alcoholism, so I've been exactly where you are.
Yes, you are doing the right thing by protecting you little girl from the effects of her moms alcoholism. Being around all the crazy-making nonsense associated with active alcoholism is hell on us adults, so you can imagine the effect it has on little kids. So rest assured, you've instinctively done the right thing, good job.
There's lots of good information up at the top of this page in the "sticky" section, also in the "best of SR" area. Al-Anon meetings are great to help us learn how to most effectively deal with the family disease of alcoholism. It's a family disease, because it effects everyone who is close to the alcoholic, and most people instinctively do the wrong things in an effort to "help".
Al-Anon meetings are also full of people who can understand what you are going through, that was a real comfort for me when I started going.
Hang in there, the people here will help you get your bearings.
Thanks and God bless us all,
Coyote