A big tip to getting organised in the fridge is to spend some time arranging everything when you are unpacking the groceries. If I want anything to get eaten, it must be either cut up, out of its bag or clearly visible in the fridge. We all know that question, 'What is there to eat?', which usually gets asked just after having spent $200 at the supermarket! I can see you nodding your heads ;) Therefore, everything must be in the line of sight, and ready to be eaten, or it will not get touched.
The first thing I do is empty the fruit out of the plastic bags and into my fruit drawer. Then I do the same with the veggies. This is not rocket science, but seriously it makes a difference between it getting eaten or not.
I used to put all of this into Tupperware Fridgesmart containers, which keep everything so fresh for weeks, but now I have a new fridge with fruit/veg crispers, so I don't find that I need to use the containers as much as I used to, as it stays nice and fresh in the drawers. However, I generally still use my Fridgesmart for lettuce, and then others for veggies that make a mess when left in the drawer (eg - broccoli, cauliflower) or celery/capsicum, as it helps to keep them crunchy.
Before I put the lettuce in the container, pull all of the leaves off the head. I wash it all, put it in my salad spinner and drain the water off the leaves. When I did it this week I measured 1/2 cup water came out of my spun lettuce! Then I put the lettuce leaves into the container, usually with a piece of paper towel lining the base to absorb any additional moisture.