Help becoming better mother
K,
I am so glad that you were vulnerable enough to reach out by asking your question. That is awesome that you recognized that your childhood wasn't the healthiest, as you mentioned your mother being an addict and that you want help with making sure your daughter doesn't have that same experience. By you asking this question, I can tell that you are a great mom!
I love that you said you don't want to teach your baby bad habits. That is great. Being present with her and patient will go a long way. Teaching her about her emotions and feelings is so helpful as well and can help build empathy which is so important for all of us to have. Loving her unconditionally is also key as well. Reading and playing at this age are ways for you to engage with her.
Taking care of yourself is equally important. If you are stressed it will cause you to not be as present to her needs as you need to be, etc. So managing your stress is super important. Having a good support system is great as well. I am not sure if you have ever attended ALANON but this is a great free support group for those that love an alcoholic/addict. This could provide a great space for you to talk about your concerns and let out any feelings you have about your past with your mother being an addict. There are usually meetings daily.
I hate that you had to cut off contact with your aunt and grandmother. It is a hard decision to make when that happens but that is very strong on you to do so. You want to be surrounded by supportive and loving people and if they aren't healthy for you and your daughter it is important for you to set up boundaries around that.
Again, so glad you reached out and best of luck to you!