Laundry rooms, I'm beginning to think, are just code for the cat's room in human speak LOL
When my kittens were young they started out in the laundry room. And, like suggested, I didn't run the washer and/or dryer at night, while they <cough> slept.
They did just fine.
You might want to not clean her bedding in when you first set it up (familiarity) and, perhaps a little radio playing soft elevator music, on low, for comfort.
Just a suggestion, it might be soothing.
Like Jetlaya67 suggested, a covered box with a cat flap opening. If the laundry room doesn't work out, the box might make another room more workable.
I use one of those and they really do reduce "litter spray" and "dusk kick up".
If you have a thing about close boxes harboring smells, you can always remove the lid for a half hour in the morning to "air" it out.
If the box has a filter, the filters work great and there is no need for "airing".
Good luck and happy moving into your new home