The problem with plastic is if there is humidity the fabrics can become damp then mold. If you open them, move fabrics around often you can avoid that- and leave the lids off when its very humid. I've used Rubbermaid totes for years. I also have book cases with stacks of fabric. The things to avoid is moisture and sunlight. ( sunlight fades fabrics) refolding your fabric periodically will help avoid permanent creases and faded folds. If you are using/handling your stash regularly most problems are avoided. Long term storage is a whole different situation with other consideration