Welcome back noexcuse. I think you have the right mindset at this point, cut out the excuses and get to work on getting sober. I drank for a lot of my kids early life too, but i've now put a lot of sober time under my belt and they appreciate it - your kids will too. Meetings sound like a great idea whether it's Celebrate, AA, LifeRing, etc - local support can be very helpful. If your parents can help with the kids so you can go to meetings that would be fantastic too, they only take about an hour or so.
Congrats on making the decision to put your foot down and make changes. Hope we can be of help as well here on SR.