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If the eggs have already been under a broody or in an incubator you need to keep them there or they'll die--I have had a broody get back on the wrong nest, her eggs got cold, I put her back on and most of them still hatched, but that is a crap shoot and not ideal.
If you want to take some fresh fertilized eggs with you to put under her after you get settled in your new place that should work just fine. Keep the eggs pointy side down in a carton, avoid jolting them around, tilt them at about a 45 degree angle and change angles 2-3x a day, and keep them cool. I store my hatching eggs in the garage and put a book under one side of the egg carton then the other to "turn" them until I'm ready to put them in the bator or under a hen.
ETA: I use a small high power led flashlight to candle eggs. I bring them into the small bathroom (no windows) and it works well for all but the very darkest eggs--I can usually see a little in the dark eggs, just not much.