Are there any guidelines for what constitutes an “organic acid” regarding storage requirements? I am moving a large amount of chemicals to a new lab and I’m curious about any guidelines for chemical separation. I’ve seen suggestions that organic acids and non-organic acid be stored separate from one another, and away from general chemicals. However, where would a long chain fatty acid lie, general chemical, or organic acid? When they get long enough, they become a solid at room temperature. Does storage requirements change for organic acids which are solid?
@Jan is correct. 

Organic vs. inorganic is not the main concern for acid storage.  The strength and oxidizing ability of the acids is a much more serious issue.

Your institution/company may already have internal safety guidelines that you should follow.  If not, your country/province/state will have occupational health and safety regulations that you will need to respect.

You can find the American Chemical Society's safe storage guidelines here.