When you don't have enough room for every veggie to have it's own container, you save a lot of space by sharing them. Trying to eat healthier and enjoy the bounties of summer veggies is a great idea, but with an older smaller fridge, it's tough.
Taking smaller amounts and bagging them, then sharing the containers not only keeps them fresh, but saves you room as well. Buying only clear containers also helps to know what is inside without popping the top.
You can even go so far as to put a write on/wipe off magnetized board on the fridge and a list of what is inside.
N-joy!
Source: Just having little space and a good solution.
Some smaller vegetables can be stored in an empty egg carton to keep them separate from other vegetables. This is a page about using egg crates for veggie storage.