When preparing and storing produce, the most important considerations are temperature, ethylene and airflow. Produce that is kept in the fridge stays fresher longer when sealed in air-controlled containers. In terms of ethylene, keep ethylene sensitive and ethylene producing separate in order to reduce spoiling. Produce that is left out at room temperature must be stored in areas with good air circulation to prevent premature spoiling.
Citrus should be kept at room temperature but once lemons, limes or oranges are ripe they should be stored in the fridge so that they can last longer. For herbs, put them in jars filled with a bit of water and watch them thrive!