Outfits for daycare?

An

My 6 week old just started daycare this week. I'm super bummed because I should have known they would keep the room cold and pretty much all the outfits I got him aren't warm enough. Yesterday when I picked him up he was in some cotton footed PJs and was literally shivering (I mama bear'd it and spoke with the attendant about don't worry). What else can I get? Should i just layer him up?