They grow and stay year round. Once they're established, you can't kill it. LOL May die back a bit in a harsh winter, but it will always come back to life the next year.
An annual flower or plant only lasts one season and does not regrow the next year unless a seed happens to survive winter (zinnia, red salvia, petunia). A biennial will regrow two seasons and then needs to be replanted. A perennial comes up every year, either through self-seeding or because the roots produce new plants every year (peonies, roses, etc.) Some perennials won't live in colder climates so the US is divided into hardiness zones. I live in northern Vermont, so my zone is 4 and barely 5 if the plant is really hardy.
Anything above zone 3 is okay. Zones 4-9. I don't know how well they'd do for sure in NY, however, once the danger of frost is past, and you establish the plant, I feel confident that they would do fine. I'm getting a head start on mine just in case, in the house. I generally send my seeds the same day of the auction.