Carrots are good for late autumn/fall cropping. We've still got a couple of beds of them left to harvest. They should last until Christmas but we will need more next year to go all the way through the winter.
We've had two frosts already but it hasn't affected the carrots.
I'm so glad you'll be enjoying your own carrots for a long time to come, we have to plant twice as many next year! I'm freezing some today once I cut them up, perfect for stews in the winter!