He sounds like the father of my DD.
Firstly, well done for leaving him, that step alone is massive and frightening.
Secondly, control yourself when it comes to arguments. Just don't argue back. I'm not 100% accurate here but it goes something like this - there are 3 (TA) states of conversation and mood -
Parent - dominant, leader, disciplinarian (often ego lead and can go into excess and be threatening)
Adult - even scale, reasoning, fair, not swayed but others' inability to stay in control
Child - accepts dictatorship, scared, blind acceptance
Please try to stay in 'adult' state no matter what he does or says. You cannot control him, only yourself.
Make a detailed case against him by writing down everything abusive he has done and what his 'justifications' were.
Record or film him when safe to do so. I use a hidden iPad to film and have the voice recording on my phone set.
When an occurrence happens, write it down somewhere safe.
Involve the police - call the non emergency number or look online for the local email and explain the situation so they know you're at risk and if you do need them in an emergency they will be aware of the issue, they will put a 'storm' on your address so they attend quicker. I have this.
Contact women's aid who will put you in touch with free help nearby, they will help you in ways you won't know are possible.
You can alter his access so he's not alone with the child. If he's on the birth certificate this would maybe need to go to court, this is why you need to build up a case. Don't give him any ammunition against you - stay smart and don't antagonise him or provoke him.
Lastly if he's like my DD's Dad he will be wholly unreasonable. So keep in mind YOU CANNOT REASON WITH HIM. He talks no sense when he's in a rage, NOTHING you do will make him be safe enough all the time. He will have good times when you think the 'Beauty and the Beast' effect (kindness will out) has finally happened. It hasn't, he's just having good times. He's still who he is. You can move, not go out, not wear this, have a baby and he will be better for a while. He has you in a box with sides that close in, the space you have gets less and less.