Not yet. For keeping them outside overnight, you should wait until the danger of frost is in the past. (And in NYC that means at least another month, then pay attention to the weather forecast). But if you don't mind moving them outside during the day, and back inside whenever there's a cold night coming, that's an option. But since you've got a greenhouse, just keep them inside until the danger of frost has passed.
Mike central NYS, zone 5a