Emily, I can't imagine that it will get cold enough to damage a wintersown hardy perennial or hardy annual. Yes, they were born out in the elements, and they are already hardened off. Only acclimating they might benefit from is opening the jug if you haven't already, or maybe giving them more sun if they've been in total shade. Other than that, they should be fine.
None of mine are big enough for me to handle yet, they're just too small for my clumsy fingers. Annual alyssum will be ready to be planted soon, but I think that's about it.
Half hardy, tender things are a whole other story.
Karen