Moving wine

pseudogourmet98 thought this was worth mentioning said

We are moving soon, about two hours away. We have a modest collection of wine in wine coolers (about 300 bottles). Movers will relocate the coolers, but we will transport the wine ourselves. It will be a few days before the coolers are in place and cold again. I have styrofoam cases. Questions: do I put the wine in the cases straight from the coolers? Standing up, on their side or does it matter? Any tips or other advice are appreciated.