Ah, thanks for checking in 
Nothing particularly groundbreaking to be honest! She just kept saying we need to focus on my daughter's best interests in the response and not get sucked into all of his noise of trying to scare/control me. She advised against preemptively going to social services as in her opinion he was just trying to scare me, and if he had actual welfare concerns he would have done something about them. In any event if he tried to raise a bruise with them, they'd basically ignore him.
She said to update the police on the death threats and let them know that I would be moving out next week, so that they are aware of the situation if I need help.
She has addressed his threats to not allow me to take her with me, in her draft response to his last letter, and has said he has absolutely no right to assess my home. She's advised that if he does not let me take her, then I don't leave the home without her (it's still legally mine too until transfer goes through). She's put this in the letter too. And then if I feel unsafe as a result, to call the police.
He seems to have cooled down over the assertion that he needs to inspect my home and hasn't mentioned the bruise again (I've just had the usual abuse of scumbag whore, he can't wait for me to die a painful death and he'll be there laughing, etc.).
Moving out day is now Friday rather than Thursday. He felt that her moving out Thursday, and then staying away with me until the following Tuesday (which would be the agreed pattern for that week), was not acceptable in the first week of moving out as it's too long before she'd see him again 🙄 but he's agreed I will take her home with me after nursery on Friday. So I guess he's backed down on that front, for now anyway...