As Ridge runner states, we all have different ways of doing things, and we are giving advice based on our own coop/run set up.
Personally, I have tried moving the broody and had wrecks with that. Once she sat on my nest for a week - then went back to where she thought was good - in another building on the two days I was gone. Nada.
I have 4 smallish nests. My hens for years, have picked one of those and sat in it. It is a couple of feet off the ground. I leave her be - every two or three days - if I don't catch her off the nest, I will carefully take her off the nest and check the egg count.
I do generally keep fake eggs in the nest, but not when I have a broody hen. On occasion, I have had one go out for her daily, and come back and get on the wrong nest. I don't have that as much if I remove the fakes. NOTE: if this happens, and even if the eggs are cool, just stick them back under her, and they will hatch!
The day before she hatches, I put fresh bedding in the coop. I have never had a chick injured getting down. However, if you get one that hatches several hours earlier than the others, they may get rambunctious enough to get down to the floor and the hen will leave the remaining eggs. If that happens, I just move those eggs to her on the floor, and she will tuck them right under her, and finish the hatch. Got 100% pullets last time.
I do put water close by and feed, but generally my hens have them outside within 24 hours. The layer flock has been giving the broody hen a great deal of space for weeks, and they do not bother her or those strange fluff balls she seems to be talking to. She tends to hang in a corner, on the edge of the flock. Once in a while after a couple of days, a chick will not be paying attention and get close to a layer, who will give a peck, but Mamma interferes and correct chicken society begins. At this time, my whole flock goes to chick feed with oyster on the side.
Don't count your chickens before they hatch is good advice. Some eggs don't develop, some start and quit, some get broke. Celebrate the live ones, don't stress over the others, 50% is something to aim for, but a lot of eggs don't hatch.
Mrs K