I agree with everyone who has said that you have become so conditioned to always think of him first, to second guess his every move that you cannot stop, even when you need to.
You say that maybe you are in still in denial that this is happening to you?
Well I think you are right. It's probably a coping mechanism that you've had to develop in order not to crack up. But you are about to get out of this horrid situation now, so you must find that last little reserve of inner courage and face it, it IS happening, you ARE dealing with it, it WILL get better.
And as for not wanting to label him, that is not a decision you can make.
HE IS AN ABUSER AND AN ALCOHOLIC, END OF.
It's not a question of your labeling him making him so, he already is, label or not.
Lastly, as far as wanting to avoid taking the women's aid route, please remember that your children would be far more affected by witnessing your H turning up on the doorstep of your private rented house and ranting, making threats, trying to get to you, using them to get to you, trying to presuade them to come to him, causing a scene for all your new neighbours to see and being taken away by the police, than they would by spending a short time in a refuge, surrounded by people who have lots of experience at helping children who've left their homes.
Do you think maybe the stigma associated with a refuge is part of the problem? And that by admitting you do actually qualify for help is somehow admitting faliure? (It isn't, not for second, you need help, through no fault of your own, just like hundreds of women across the country.)
Keep talking these worries through stars, it's obviously helping you clear your head,
ps
Really proud of you.