Not hearsay or alleged accusations/allegations as is here. There needs to be video proof, independent witness proof to corroborate sd's allegations.  
 

have you made it clear to your partner that his custody time with his daughter must occur elsewhere? That you and your minor daughter will not be made to vacate the home over the weekend etc over lies he knows his daughter made just to get back at you and cause unnecessary petty drama without understanding the seriousness of what these lies can actually destroy you, your career and in future lead to your daughter being taken away by cps??

he needs to know the seriousness of these false allegations and that you will not tolerate this anymore and that there are to be no more visits of sd into your home or any outings together. She needs to do a written apology as a bare minimum 

I'd consult with them in the first instance.

BM has never filed a TRO against me but she has filed many baseless ones against DH over the years. We had a good lawyer who was able to get them thrown out repeatedly by challenging her story and showing documentary evidence of where DH was when she said he was at her house, what the emails she said were threatening actually said, etc. After he finally clued in to how crazy she was, DH NEVER had an unrecorded communication with her. NEVER. Because whenever he did, she would get a TRO and say he threatened her on the phone or at skid pickup. 
Here's the thing. She does not need any documentation or video as proof. BM only needs SD to testify and for the judge to find her testimony more credible than your testimony. Hopefully that will not happen. Hopefully your lawyer ca show that you are an upstanding person worthy of belief and SD is a liar. Has she ever gotten in trouble at school for lying? Maybe your lawyer can get those records. And DH better be paying the bill. You did not ask for this and it's his poor choices that got you into this mess. 
 

I have had CPS investigate me because of lies BM told. It was awful. But the skids at least did not back her up. If they had, it would be the last time they were in my presence unrecorded.  And it would have been a long time before they were allowed back in my house even with cameras.

I am sorry this is happening to you. But you need to protect yourself 

BM Toxic Troll did the ex parte and attempted to include me in it. But it was not even addressed. She simply wanted money out of it and didnt really want to limit any visitation time.

Try to be calm. Im sorry this is happening. What ever happened to your staying elsewhere?

Im sending you some good vibes for a positive outcome.

Ideally, the lawyer you have hired should be able to give you a good idea of what to expect at court and after (depending on outcome).  I hope they are able to present the evidence of the prior false accusations against your DH as evidence of an ongoing campaign of harrasment of your household as well.  

Other than that, you should prepare yourself to present as if you are a calm, kind rational person.  don't take bait intended to make you "blow up".. make your comments about your SD's come off as sympathetic towards their situation (poor children of divorce).. and that you have always tried to make your home welcoming to them.  

You do say you don't spend time with them alone.. and while that could be protective in some ways.. you could also end up having it seem like your DH may not 100% believe you vs his children.. so you won't be alone to protect yourself..which is not entirely in your favor. 

but again.. your lawyer should coach you on what to say.. not say.