I get everything you've said AleC4. Horsemad is right, don't throw away the house, it's your most valuable asset.
You don't know yet what the settlement will be, you could, with a SHL do much better than you think.
Whilst your SHL is fighting your corner, make some changes at home. It will help and needn't cost much.
Move furniture, get rid of stuff you don't like, paint your bedroom walls. Even a new rug or two, new cushion covers will put a new stamp, your new stamp on it.
It is still very early days. His presence will fade.
Throw yourself into the new term. By half term you'll have a better picture of the legal stuff, and feel better emotionally.
Don't commit to anything at all. Just focus on you, your kids, that's more than enough.
Everything is up in the air. Just do the essential stuff and don't add anything else to your life at this time. There is no rush. If you don't take time to process this as it happens, it will catch up with you at some point anyway.
Forget about credit scores, etc for now. You might stay, sell, rent, get a promotion, whatever, who knows. Just think short term for now.
Good luck, you're doing well. X