I agree with Scap, put them in one at a time to acclimate. You could add a new sponge soaked with distilled water and place it on the shelf with a water barrier (I make a small tray from aluminum foil).
Then watch the overall humidity of the cab to make sure it doesn't get too high. But in my experience, that wood will suck most all the moisture out of the sponge before it can over humidify the whole cabinet. When the humility starts to spike up you'll know the wood is close to fully humidified. If the humidity get too high then pull the sponge and abort.