In most zones, begonia tubers can be overwintered right in their pots. In the fall, simply bring your begonias inside -- they make happy houseplants. Make sure to water your begonias regularly, and consider adding a humidifier to your home. Begonias can suffer from crispy edges when not provided with a properly "tropical" humidity level, and household heat can dry out the air. You can also set a pebble tray near your begonias to allow water to evaporate into the air.