Begin by finely grating 2 to 3 medium-sized fresh carrots using a box grater or food processor.

In a large mixing bowl, combine 2 cups of heavy cream, 1 cup of milk, ¾ cup of granulated sugar, and ¼ cup of brown sugar. Add the prepared grated carrots, 2 teaspoons of vanilla extract, and your choice of warm spices.

Transfer the mixture to an airtight container, cover it tightly, and place it in the refrigerator. Allow the ice cream base to chill for at least 2 hours.

After chilling, pour the ice cream base into your ice cream maker. Follow the manufacturer's instructions to churn the mixture, typically for about 20 to 25 minutes.

Once churned, transfer the thickened ice cream into an airtight container. Spread the mixture evenly, smoothing the top with a spatula, then seal the container and place it in the freezer for at least 4 hours.

When ready to serve, scoop the ice cream into bowls or cones.