First, is there a reason they can't brood in the coop? That's where my birds raise their babies.
moving a broody is always an iffy thing. Some move just fine, some break completely. Some get off the nest for a day or so, then adjust and go back. You just won't know until you try it.
If you need to move them, here's how I'd do it.....
Don't give her the eggs you want her to hatch yet. Use golf balls or sacrifice eggs, whatever.
I'd wait until the hen had been committed for a good three days. To me, that means on the nest day and night.
The next night, I'd move her at night to the desired location. If you can leave her in the bucket, so much the better. Just fine another bucket to replace the one you moved from the main coop.
Watch how she does at the new location. I've had hens wake up and throw an ever-lovin' fit about being moved, lots of squawking and flapping and carrying on, like they were abandoned on a desert island or something. That's why you don't give her the eggs you want her to hatch yet, she may be off the nest a day or so, or may accidentally break eggs just by being so upset. Try to keep thinks as quiet as possible around her. If/when she settles back down and stays on that nest during the night, you can go ahead and set the eggs you want her to hatch.
But, not to sound like a broken record...if you have the space, it's just so, so much easier to leave them in the coop. Babies are born right into the flock, no drama about introducing young birds, momma takes care of all that.