Quail, buttons especially, do better if they have higher humidity than chicken eggs. You should try to keep the humidity in the 45%-55% range during incubation, then up to 65%+ for the hatch. They also seem to hatch better if the temperature is lowered 1 degree during lockdown.
They do need food and water almost immediately after hatch, you can go about 24 hours before you really must feed them. I usually wait till there is a 'lull' in the hatch and move hatched chicks to the brooder.
Quail chicks need a higher temp in the brooder as well, closer to 100*. This will prevent them from piling on top of each other, which is one of the main causes of quail chick death. Just be sure they have room to get away from the heat source if they get too hot.
You need to use a quail chick water base AND put marbles and/or small stones in it for buttons, they can and will get into the water base. You also need to grind (or make into a mash) their feed for at least the first 2 weeks (also for buttons).
Buttons can fly very well at just 2 weeks old, so you are better off covering their brooder from day 1. That way, you don't find out the hard way that they've learned to fly. Their flight feathers are in at 1 week old.
