What type quail you are hatching will depend on incubation times, temp and humidity levels.
As far as egg storage, if you are receiving shipped eggs in the mail, it is best to let them rest, large end up, for 12 or 24 hours so the bubbles dissipate before incubation, and allow them to come to room temp. If you are going to hatching freshly collected eggs, it is best to let them rest for at least 3 days. Make sure not to store eggs in a warm place as you don't want them starting to develop until you actually put them in the incubator. So a place that is 50 - 60 degrees is best, large end up. If you are storing them more than one day, turn them a few times a day.
Start up the incubator 24 hours in advance to get the temp and humidity settled in. Then place eggs in, either on their sides with large end leaning up, or the large end straight up, depending on what type of incubator you have.
Good luck!