Welcome to SR.
Yes, you absolutely CAN do this. I am also the parent of teenagers. They saw me drunk far too often and I just wasn't the parent I could and should have been.
The good news is that it can all change, and it begins with you deciding you don't want your old life any more and putting down that drink.
Read what works for other people, ask questions, reach out when you need to.
I've been sober for 7 months now, and it started with a post on here....x