I would be hesitant to store my spices in plastic, not knowing if it is food grade or not
many plastics have certain chemicals that are not desirable. I by all my spices from Penzeys. First time in a glass jar, then I order in bulk for refills. Refills come in heavy food grade plastic which I store several in freezer zip lock bags which I label for contents. I have a big pull out drawer which I line up all the bags in. Works so well, and the spices stay very fresh. I usually send in one order a year for various herbs and spices.
These are stored in my kitchen, kept dark and the drawer is near the floor, so it stays cool.