Longtire. First and foremost. Get a good attorney.
Even if you have no intention on 'being nasty", it can happen. A good attorney can keep you from making emotional decisions.
Above all else, try to keep your daughter's life as stable as possible right now. Alimony is hard to get in most states, but if your wife was dependent upon you for income (as in no job) then her chances will be better.
Seriously consider letting her keep the house, for your daughter's sake. Your daughter will be most likely out of there in a couple of years anyway. Maybe you can work something out when she goes to college. Rough enough to have dad move out, rougher still for her to have to move as well right now.
Think about your daughter (seems you do) when you pay child support each month. It is not for your wife, it is for your daughter... sorry to harp on that but my ex still complains about "my" getting child support! My kids have even heard his attitude on that. It hurts them to hear.
You already know not to speak to your daughter like she is your therapist, or to badmouth you ex, however tempting.
If you and your wife both have a respectful, loving relationship with your daughter, then she may feel ok about speaking up to you about what her desires are on that end. At her age, most states will allow her to make up her own mind. You might even look into a custody evaluation if need be, but if she refuses to speak to anyone (like my kids) because she is too afraid, or doesn't want to be in the middle of it all, maybe let her behavoir and choices in the seperation period be your guide. Just please don't forget she is a person who loves you both, and not another possession to be assessed and then split up 50/50. Consider being flexible with her needs at the heart of everything.
My fiance has a wonderful, flexible understanding with his ex wife, and their daughter is so fortunate. She loves spending time with either parent, but my fiance accepts that the onus is on him, for leaving the marriage so long ago (for whatever justifiable reason), to forever be the one to adjust, allow and be flexible when it comes to seeing his daughter. He knows that children are not "splitable" and she does spend the majority of time with her mother, in the home she was born in. She does however, even at age 8, suggest that one day, she might like to live with her dad. Neither parent is freaking out over any of it. She comes first, not their fight, not the breakup, nothing but their child. My own daughter has said, "I want what they have".....and then acknowledged that her own dad would never go for it. But they are two pretty healthy people, probably not like your ex or my ex.
But you can be the healthy one here.
Keep on feeling inside the way you want to feel and it will unfold. Walk right throught the mess and keep love for your daughter at the heart of it all. You will be fine.