Preserving vegetables in the fridge
I tend to be kind of lazy and store my vegetables in plastic produce bags from the supermarket.  I have found two things that help the produce keep longer:


Put a dry paper towel in the bag to absorb moisture.
Leave some air in the bag when you tie it, so the plastic is not resting right up against the vegetables.


Also, I'll sometimes put the produce right in the crisper drawer without a bag or container.