Here's my recommendation. Since you'll be moving, keep them separated for now. Plan to do at least 4 hours long introduction after the move. The new place will be their new territory.
Before putting all of them into the same cage, wash everything with white vinegar. Wipe down the cage bars, coroplast, water bottles, and bowls with white vinegar. This will help remove all their scents from the cage. If you have any wooden items that you can't wash, put it away for now.
If you can build your own cage, you can make it bigger. A 3x5 or 3x6 will work better. See this link:
https://www.guineapigcages.com/howto.htm
All hideys in the cage must have multiple doors, so they can't trap each other. Fleece scraps draped over the corners will work well for this. They can run through and hide under, without trapping each other. Each pig needs his own hidey, don't expect them to share. Same goes with food bowls and water bottles.
Also will help if you put piles of hay at different ends of the cage.
I find that it helps to keep them on disposable bedding the first few weeks together. I throw a pile of hay or veggies into the cage when they look like they're about to fight.
Also see this link for helpful tips.
https://www.guinealynx.info/forums/viewtopic.php?t=46468