At Home & In the Car Fly Organisation
If you don't own a huge amount of flies, you'll probably find that the most convenient way to to store your flies is in a number of different fly boxes. The thing is, you need them easily to hand when you're ready to hit the road... you'll find it incredibly inconvenient, and sometimes devastating, if you head out the door without something you need.
On the Stream Fly Organisation
Turning to the storage of flies on water, there are numerous options to select from. You'll probably find one medium box and two smaller ones and ideal solution to start, the medium box should be fitted with foam top and bottom. The two smaller boxes should both be foam boxes - medium box goes in the right pocket and the two smaller boxes go in the left pocket.
The Thing About Fly Boxes
Most fly-fishers who owns too many fly boxes almost all report that they simply must have fly boxes with clear lids, to enable convenient sight inside. If you can look inside the fly box without having to open it up, you will save so much time you won't quite believe it. What's more if you apply a color-code to your fly box system, especially on the water, you'll have more brain time to enjoy the excitement of precious minutes during a good hatch.

Shopping Considerations
As for product quality, the truth is most fly boxes will "do the job". The main aspect of quality parameter is to check that the fly box lid actually remains closed... real cheap fly boxes have an annoying and inconvenient tendency to pop open you least expect it. And when a fly box pings open at a bad time, you could end up seeing dozens of your flies float off on an unplanned trip down the river. Luckily the real cheap fly boxes aren't sold at good stores.