I have found an easy way to store fresh fruits and veggies in the original plastic containers that they come in.  I rinse the food to remove pesticides(blueberries, strawberries, grape tomatoes, etc…) and wash the plastic container the food came in.  Once the food is rinsed, I store it in the original cleaned container.  I add a paper towel to absorb the water if the container does not have holes in the bottom.  This makes for easy storage and clean up as I just throw the container away when all the food is eaten.