As @SandyY2K said, if you do this, you must set rules to have any semblance of a peaceful home. Put up strong boundaries and stick to them. Your daughter will certainly agree with your rules initially, but eventually she is likely to resist your structure. How would you handle that? What would the consequences be? Would you be willing to send her away from the new home that you’ve moved everyone into?
I think that you need the support of counseling if you are going to undertake this.
I see these issues:
Your other children’s lives will be destabilized by moving from their home and father. They will grieve. They don’t need the added frustration of a chaotic environment and disruptive adult sibling. You describe her as “quite abusive” and “very nasty.” You must protect your other two. They don’t deserve to be her targets.
Would your younger children feel free to tell you if they were miserable and struggling? It sounds like your younger daughter already feels pressured.
Your daughter was excluded from school, so her defiant, irresponsible behavior spreads beyond home. Has she ever had counseling? She possibly has oppositional defiant disorder or other MH issue. She needs to address this with a therapist. Perhaps she needs medication.
Does your daughter abuse drugs or alcohol? You said she would come home “pissed.”
You say that she hasn’t been paying her bills. Does she intend for you to pay them? I hope she has a job.
She has had terrible boyfriends and has recently been with an abuser. She may return to him or pick another. She is an adult, so you cannot micromanage this, but you will be living with the likely chaos of her dating life. Counseling could help her with relationship issues if she is open to it.
Personally, I wouldn’t form another home because I couldn’t sabotage my other children’s lives. It is too risky and is likely to go south, to everyone’s detriment.
Your adult daughter has been making poor choices for years. Her defiant, reckless ways and poor coping mechanisms are not going to just disappear. I would help her emotionally and financially as much as I could while she gets back on her feet, but I wouldn’t sacrifice my other children’s well-being.