Duckopolis, are you talking about hatching duck eggs?
Austindon: If you are incubating chicken eggs, you can hold them in the house for 7 days or more before putting them in the incubator. They should never go in the incubator when they are cold. The standard is to store them with the big end up, with the ideal temp being 55 - 65 degrees. A lot of people put them in an egg carton, and tilt the carton by propping the end on a book or two, alternating ends 2 times/day. Do some reading on dry hatch. Many hatchers are having excellent results by decreasing the humidity for days 1 - 18 for CHICKEN eggs, then increasing it to 65% during the last 3 days. I can't speak to the practice of misting eggs, and have not heard of other hatchers doing it to chicken eggs.
It won't matter that your eggs have gotten cold in the nest before you bring them in to incubate them, as long as they haven't frozen.