Here are some ideas you may find useful.
I use storage boxes I purchased at Michael's for around $1.66 per box to put my precut pieces such as strips. I place several like colors on the dividers provided and attach using paper clips. They fit nicely in the boxes and I can see what I have at a glance. I also store fat quarters and other small pieces of fabric organized in these boxes. They are also great for storing items such as dyes, yarn, and other little items that tend to get lost and you can never find until you do not need it.
I put my yards of fabric in file folders for easy visual.
I use the things you find in stores that hang chips to store some of my threads. I place them in small plastic zip lock bags.
I also utilize pegboard to hang my scissors, rotary cutters, rulers, and misc items used.
I have included some images to illustrate some of the things I am using in my sewing room to assist in organization.