Everyone's bottom is different but you should feel fortunate that you realize not only that you fucked up, but also that you need some help with your boozing
I always encourage going to AA because it's free and provides ample social support, but there is more than one way to skin a cat. Naltrexone can help with alcohol cravings and your doctor can prescribe it. Find friends who don't drink and re-learn how to unwind and have fun without drinking (that's where AA is helpful). Try not to wallow in shame too much because that can be fuel for more drinking or simply giving up.
I'd suggest apologizing to your wife, no "buts" or justifications. Admit you were wrong and state you want to change so you aren't taking your 3-year-old to the pub on a Sunday. There are lots of clichés in recovery like "one day at a time" and "take it easy" which are true because it's easier to make big changes in small bites. Lots of guys drink too much and get better, so it's not impossible. It just takes some work.
I used to get wasted every day and did that for years, but now I'm sober and all the better for it. Lots of guys in this thread have gotten sober, so you can do it, too.