I've moved broody hens many times. What is critical is to make a nest that resembles the nest she is being moved from. The most important thing is the nest pad. Whatever material you use needs to be the same. When I discovered that, I moved a replaced the hen's eggs with fake eggs. I set up her apartment in the other building where I had 3 such units. (a rectangle and two trapezoids) the latter two are about 4' in length, 18" wide at one end and 3' wide at the other end. That is where the nest box and automatic water is. The rectangle is bigger. Each unit has a small man door, a huge hardware cloth window taking up about half of the long wall. There is an access door into the nest box from outside.
The apartment was all clean with fresh pine shaving bedding. The nest box had a new clean plastic nest pad. As soon as I had the incubated eggs in place, I took the hen from her old nest and put her in the prepared apartment. She just walked around refusing to sit on her eggs. Her old nest was an excelsior nest pad. I took a chance and pulled the plastic astroturf nest out replacing it with an excelsior pad and placed the eggs on it. The hen immediately went in and resumed incubation.
From that time forward, I always moved the hens to the broody apartments about two or three days after broodiness was confirmed.
I would do nothing for the hens other than to verify the automatic water was working, remove the lump of broody poop, and fill the feeder, when necessary, which was only needed a couple times during incubation.
No eggs volunteered from other hens. About a day before eggs hatching was imminent. I put a small piece of plywood onto part of the bedding. On that I put the chick water fount and made sure they could access the feeder. I never did anything else and only counted chicks after hatch, removing the eggshells.
I moved the hen and chicks back with her original flock after 3 or 4 days assuring the chicks had good mobility. This assures the hen is still in protection mode which keeps the other flock mates at bay till the chicks are accepted as members of the flock.