Those crisper drawers in your fridge are there for a reason! Use them to store fruits and vegetables separately thereby containing natural gasses that promote ripening, and to keep natural flavors pure.
Wait to wash until right before using & keep produce such as lettuce intact until ready to eat.
Avoid mealy tomatoes by storing them in their own open area on the counter top placed upside down which minimizes air from entering at the stem.
Store garlic, onion, potatoes, sweet potatoes & winter squash in a cool dark cabinet or pantry.