Abuse is not generally taken into account in terms of financial settlement, no. It may be relevant to any contact order made, e.g. supervised contact only (although the age of OP's children this will be largely irrelevant if they don't want to see him.)
However it would be possible to use documented abuse to try to get an occupation order, as goddess posted earlier.
OP, please see a solicitor on Monday. It sounds like you had a bad experience before, shop around and see someone else, and ask them if they have experience with very controlling and abusive men.
You also mentioned you phoned WA and they weren't helpful. You could try again - I believe the switchboards are staffed by volunteers and you may have spoken to someone who's not totally clued up.
You can do this, you can protect your children by leaving. I know they are clinging onto the family home - that's because they're kids, and kids hate change. People have to move all the time, kids hate it but it really doesn't do them harm (unless in the middle of sitting exams, obviously.)
The fact your kids are in counselling shows they are being affected by your abusive partner. They don't have a choice - you do. You can choose to step up and act in their best interests.
Is there something specific that puts you off Warwickshire? I've never been there for any length of time but it doesn't strike me as awful. I know big cities are great for lots of things (job opportunities, culture, public transport) but sometimes you just have to take the shitty end of the stick and make the best of it.