Maudcat

Nothing has to be decided this minute.
Where do you wan to be in a year, two years, five?
Many on this site have experienced exactly what you have. Some stay with the drinker, some do not.
I can tell you that your kids are likely the most important people in your life right now. What do you want for them?
Children living in an alcoholic household are affected by it, though we would prefer to think they are not.
Unless and until your spouse decides to stop drinking, something he does not seem to want to do, things won't change unless you change them
Have you been to Al-Anon meetings? They are everywhere, and the fellowship can be a powerful source of support for you.
You might also think about ways to forge an independent life for you and your children, whether you stay with your spouse or not.