Peppers must be grown in containers at least 3 to 5 gallons in capacity. Only one plant can thrive in a 5-gallon bucket of nutrients. For better yields of the larger varieties, find larger-sized containers at least 12 to 14 inches. You can bring your pepper plants indoors throughout the winter months by growing them in containers. It's good to get pepper plants indoors in the winter if you want them to thrive.