Umm, I would make that decision based on the rats. If they get very stressed moving around, then I would leave them at home. However, if this guy is too scared to even clean their cage or anything, I would move them no matter what. If they at least have their normal cage at your friend's house, that will probably be ok for them. They might be reluctant to come out to play but at least your friend can open the cage up and interact with them that way.
Overall, I would recommend moving them.
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Six new rats