Oh, OP, chilling. Just chilling reading that.
I won't belabour the abuse advice that everybody else has given you, apart from agreeing with it all! Even/esp that DD having to witness this can be classed as her being sexually abused (look it up on NSPCC website).
Onto practicalities, though, since you're asking now (good!):
Let me preface this by suggesting - highly recommending! - that you talk to Women's Aid and/or the Citizens Advice Bureau and running your numbers through the "entitled to" website. Even if you do decide to stay with him (please don't!), you can at least do it from a position of knowledge and therefore a little more power, at least in yourself. And don't make the mistake of thinking you don't need Women's Aid because you're not being beaten round the head on a daily basis. You're experiencing sexual and emotional abuse - both illegal now - and that's just based on what we've heard about so far. I'd bet cash money that some evidence of physical abuse is yet to be revealed.
It is very unlikely that you'll get anything re: the house, as it's his and you're unmarried. Unless you have any paperwork or other evidence saying otherwise. You'll probably have ro write off any monies you've given him as "rent". There can be exceptions to this, but that can get pretty complex, so, all the more reason for you to get legal advice.
Do you have any joint accounts, joint debt, joint assets? (loans, credit cards, car, furniture, appliances, etc?). Have you been getting Child Benefit, Tax Credits, etc? Into whose account do they go?
Is DP listed on DD's birth certificate? Where is all your relevant paperwork? Do you know exactly how much DP earns? Getting a kook at his payslios and/or bank statements would be useful.
You would probably get child maintenance. Typical baseline is 20% of his salary.
Is there anything you can sell, both to downsize/simplify for leaving and get a bit of spare cash into what's known as a "fuck you fund". 
Others will come in and hone thoughts, I'm sure, but bottom line, it's doable, very doable. You just have to believe you deserve better than this. And that your DD should not grow up thinking this is OK.