I have made 2 major moves with my gliders. From MD to AZ and back again (10 months later). Of course my gliders were fairly used to travel (short trips 2-3 nights or so).
1. Have your gliders ever traveled before? Have you moved before?
2. Is the move a long distance away?
3. What do you mean "be in construction"? Are you moving after construction?
4. What have you noticed stressing your gliders out, and how do they act when stressed?
I ask these questions for a better insight to your specific situation. However, I can offer some basic things to try that may help your gliders transition a little easier.
1. If your gliders will be traveling in a carrier or travel cage and are not used to travel, try introducing them to what they'll be in for short periods of time, so that their scent is on it and they are familiar.
2. Save some of their unwashed cage items to setup back into their cage after move, so they have their familiar scent surrounding them. Also, reintroduce your scent, like recommended when you first get the gliders. Sleep with or keep pieces of fleece on you or in your unwashed laundry to get your scent and place in their pouch and around the cage. This familiar scent will help. Also, I know this sounds weird, but please keep them in your bedroom with you in your new home and make your bed up with the bedding you had before the move, without washing them. Just for a few nights, then refresh your bedding. This will help bring scents from their previous home with them, it will be familiar and will help them adapt to the changes.
3. Spend as much time with them to comfort and reassure them.
Hope I've been some help.