A.,
Allow your husband to interact with his daughter. If it's unpleasant to you (but not abusive) simply leave the room and let them carve out thier relationship.
If you're changing her surroundings and people for a month, you have the responsibility to make as much as possible the same for her. This may mean she's sewn on to your skin the WHOLE time, but, you know, that's the choice YOU made, not her, in leaving home and it'll be ok.
It sounds like you're stretched thin with a 3 year old and then twins. Think about HER life and reality having you completely absorbed with the other two, even when pregnant, because we all know baking two babies is different that just one. (unless it's adoption, in which case the change is overwhelmingly shocking to everyone)
I don't know your schedule and routine, so please forgive any suggestion that you're already doing; perhaps, every day you have a set time of just You and Her, before and after that, she has to share Mommy, but during THAT time it's JUST HER.
Back to daddy, you really do need to avoid setting up an oppositional parenting style. If you don't like how things are going, unless is actually dangerous, STAY OUT OF IT and talk to hubby alone later about how you'd like to handle it in the future. This will keep the unified front your children need for respect and security, it will avoid the all too popular game of pitting one parent against the other and seeking for an answer they like when one parent has already spoken, it will help you to discuss it with wisdom rather than emotion, avoid sending the messages that you're their to save the children from daddy and that daddy is some from whom they need saving as well as the message to your husband that he's an idiot, the pause in time may also show you than your first reaction may have been off track--it happens all the time, my husband will be dealing with something and I begin to feel protective because of whatever and then in the end I'm so glad I didn't interfere because he handled it well and better than I would have. Some of the best relationships come from DEEP carving of boundaries in the beginning...since this is a relationship of a lifetime and beyond, let them figure it out on their own terms so long as no one is being damaged.