I too had a baby around the same time as my momma kitty. If I were you, I would just pick a nice quiet, relatively darkish place to put a box/bed for her that's not anywhere near where you will be laboring. If her kittens are still very small, I doubt she'll care much about what you're doing anyway, she'll be too busy! I'd start putting her into the box once in a while in the last few weeks of her pg to help her understand what its for, and if she starts her labor elsewhere, move her there.
One litter of kittens at our house was born in the back of my closet. No matter what I did or where I put the box, Momma moved them back to the closet. I would worry that moving mom and babies to the neighbors, even overnight, might cause momma to get nervous and move/hide the babies in a not-so-acceptable place. JMO