What I do to avoid a stressful acclimation process from the Q to the main is, about a week before the move I start doing water changes in the Q tank and replacing with water from the main tank. Small at first, then increasingly larger, up to 50% at a time by the end. After a week or so the Q tank water should match the display pretty closely. (Use the same thermometer to check the temp of each.) Then just make the move.
It's like a week long acclimation.