The reason for not moving them, I think, has more to do with keeping the humidity up in the coop more so than the moving itself. I would not leave eggs in the turner as there is a chance of them getting stuck in the gaps between the racks. You were right to take them out of the turner.
If its...
By egg trays, do you mean egg cartons? I have hatched both ways and they will hatch in the carton or laying down. Do you hear any peeping or anything? I'd let them be for at least a couple of more days. If the chick is dry and fluffy you could take it out when you add more water.