Hi Rachel!
:hi: to RabbitTalk.
Your mellow doe probably wont care at all, but I am not sure about Ms. Aggressive. You might want to wait to move her until her kits start coming out of the nest, at which point she will appreciate a bit more room.
In any case, what I would do is move the doe(s) in the morning, leaving the nest in the old cage for the day or at least a few hours. This will (hopefully) give the doe time to establish a "potty corner". Then you will know where to place the nest box so she does not use it as a litter box.
I would encourage you to spend some time with the aggressive doe. Pet her when you feed her. Wear gloves if necessary if you believe she will bite. You may want to remove her from her cage for 5-10 minutes a day and place her on your lap or a table and pet her there since she will be less aggressive if not in her cage.
When you put her back in her cage, make sure you do so rear end first so she does not leap from your hands. I grip the shoulders of my rabbits with one hand and have the other under their abdomen. When you set her down, push gently on her shoulders to pin her in place, and continue petting her until she relaxes, and then release her. If you simply set her down and allow her to race away, she will think she has escaped a predator, and will do so again the next time.
Give her a treat (some weeds or greens, a small piece of apple or carrot, or a horse cookie) so she thinks of the whole "ordeal" as a positive experience.
Next time she kindles, make sure to pet her soon after she births the kits. A hormone called prolactin is released during labor and nursing, and is responsible for the bonding between mother and offspring. It is often called the "feel good hormone" because it produces a loving euphoria. Use it to your advantage!
Good luck! We are all looking forward to hearing more about your rabbits, and seeing pictures of them and your set up!