Sounds like Your daughter has a sound sensitivity. I myself have sound sensitivity. Sometimes I can unconsciously block out the offending sound, sometimes I cannot. Like at times if I am tired then I have to make more of a physically conscious effort to block out the offending sound. There are ways of developing coping skills to help block out or desensitize from being overwhelmed by offending sounds.
Find an occupational therapist trained in sensory integration they can point you to where you can get help, or there are programs out there to help with auditory processing.
One thing that you could do on your own to help desensitize her .
Choose one sound at a time. Vacuum Tell your daughter your going to play a game and she can have a reward each time she listens. Turn on quickly and turn off. Reward. do a few more times, then enough for first day. It takes a lot of energy to push yourself to tolerate something you don't like.
(think how draining effort it would take for you to block pain, if you were forced keep your hand on a fire and tolerate the pain.)
Next day repeat the steps. Do steps once in morning, once lunch, once in evening. If you feel like she as at a point can tolerate it... add a few more seconds to the length of time the vacuum is on. Keep rewarding your daughter and make a big point of praising her each time she tolerates the noise.
Gradually over days and weeks continue to increase the time the vacuum is on. Give her the control of turning the vacuum switch on and off, and say to her lets see how long you can keep it on. When you feel like she has gotten a comfort level with the vacuum pick another noise offender and repeat the same process for it. And so on.
For the new house
You say your daughter has always reacted to things, but in your new home verses your old, your daughter reacts to more.
Does your new home have less carpeting and more open areas than your old home? Tiled floors, wood floors, open areas less walls.
All are live sound surfaces that bounce sounds around to where you hear the initial sound, but also have sound the reverberations. Sounds can continue to travel and reverberate until they hit something to adsorb them.
Those sounds would not bother, or even be noticed by most people, they can naturally block it out. It is the total opposite for sound sensitive people, they are not always able to block out the sounds, and it can be very annoying, distracting, sometimes even hurts, and quite the headache.
Carpeting absorbs sound and walls/less open spaces, keeps sounds from bouncing throughout the house. A Sound booth in a recording studio has carpeting even on the walls so e actual sound that are being made recorded and not sound reverberations.
If your new home does have a lot of live surfaces or open areas... try adding some throw rugs and decorative room dividers. It would not solve the problem completely, but it might help cut down some of the noise.
Good luck.