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Agreed. It's not safe to take them out of the warmth of the incubator right after they hatch, and it's not even really safe to mess with them right directly after they hatch, for that matter. It's best to leave them alone, unless they are obviously having problems and need you to intervene, during the hatch and afterwords, too. They need to have time to try and gain their footing and adjust after they hatch, and that needs to happen in the 90*F incubator/hatcher.
If you can't leave the newly-hatched chicks in the incubator/lab, you should put together a hatcher. A hatcher is what some people use when they are incubating eggs; what they do is they incubate the eggs in an incubator, and then on the day of the expected hatch date, they move the eggs to the hatcher, which is similar to the incubator (same temperature and humidity), except the eggs are no longer needed to be turned (after day 18) and the set-up is a little different: it's more cushioned, with extra paper towels/cloths for the chicks and also more space so they can have as much room as they want to wobble around, etc. after they hatch. Once all the chicks hatch, the temperature should be lowered to about 90*F. The hatcher is also used to keep them in for a day or so, so they can stay as warm as possible and adjust to everything after recently hatching. After a day or so of being in the hatcher, the chicks can be moved to a brooder box with a little food and water, and with a heat lamp of course to keep them warm. The temperature is lowered in the brooder box each week as the chicks grow, because as they grow they need less and less warmth to survive.
There is a ton of more information about this, so please feel free to search the forums.
And good luck with your hatch!