Let me first say that I'm an alcoholic and an opiod and benzodiazepine addict. I've been clean since 2012.
It sounds like you have a drinking problem. If you can only go a small time without "needing" alcohol to relax, you are addicted.
Make any excuses you like, but I know what's going on. If you've been doing this for some time, and you drink "sip by sip" every night and wake up with a hangover in the mornings, you have a problem.
I've been there.
I think instead of alcohol, as an aspie you need something to fill your mind. Maybe word games or sudoku or cards? Maybe take melatonin at night. Start out small 1 mg.
But you need to cut the drinking out. Your kids are small now, but by the time the oldest is around eight, he'll figure out his mom drinks every night, and know what that means. Or worse, you'll normalize it, and he'll start drinking to "destress" in his early teens.
I'm a mom and a former drinker. I know how this goes.
Talk to someone about your drinking. You shouldn't need it every night. A lot of people have been there.
Myself, as an aspie, I found 12 step groups absolutely terrifying. I black out in large groups of people. It doesn't help. Me, I just had to look at my daughter and be like, "Okay, do I want this life for her? What's more important, my happiness, or the fact she has 100% of a fully functioning mother?"
Look at your babies. The six year old, that's the last year he'll really be a "baby", he's going to transform before your eyes into an older child during his seventh year.
Look at yourself. Your reaching out here is a first step. You know you shouldn't drink every night. Deep down you know. Now it's time to take action. Your body your choice, yes. But what about the little ones? If you're drunk enough to get a hangover after drinking every night, you know things have to change.
But I'll shut up now, because the rest is up to you.