Soak and wash well. Best to soak in vinegar for about 15 minutes to cleanse and remove dirt.
Submerge in water in a bowl or an airtight container.
Put the container in the fridge.
Lasts up to three months wrinkle free and fresh!
Other Lemon and Lime Storage Methods
Devote a compartment or drawer just for lemons and store by placing them next to each other. If it's not in the fridge, make sure it's an airy space. Lasts about 7 to 10 days.
Store in an airtight container or closed plastic bag in room temperature with the air sucked out. You can remove air from the plastic bag by placing a straw in the side of the bag and sucking out the air before closing. Lasts nearly a month.
If you ask me, it is BEST to store your lemons and lime in the fridge. I never store them outside since they will go bad much faster.