As the child of an alcoholic let me give you my perspective....
My dad is an alcoholic. He has been sober for 24 years to the best of my knowledge but he will always be an alcoholic.
My childhood was not totally horrific. But looking back inwas severely traumatised by my dad's drinking and it has done untold damage to me both as an adult and to my relationship with with other people and with alcohol.
My dad was OK as a dad. He wasn't about much as he worked long hours and was often abroad (not forces). But he had an evil steak and I was always his target. Never mum of my sister.
My mum is an apologist and an enabler. She helped hide his drinking a lot. Our relationship is appalling as a result. Even in my mid 40's I harbour anger and resentment towards her.
My dad attacked me with words, and occasionally fists. But words were worse. Marks healed and in the 80's no one cared that you got a wallop as long as it was explained away as punishment for being naughty. Words were infinitely worse and did far more damage.
She has excused him, told me I had imagined it and shut me down as "he was just ill".
Let me tell you. If you do not stop while your children are still young enough to not really know you will damage them.
If they truly are your world then allow them to be the motivation to get help.
Join an AA meeting, get a sponsor etc. But you have to stop completely. It's not a case of "ooh I can just have 1" because it won't ever just be 1.