Can you store bulk bought dried spices in plastic sandwich bags in a large plastic container in a cool, dark corner?

Can you store bulk bought dried spices in plastic sandwich bags in a large plastic container in a cool, dark corner?

I came across the iHerb online store and saw that one pound of dried spices from there is the price of two small bottles of the same spices from the grocery. I ordered some typical dried herbs in bulk (rosemary, thyme, basil, parsley, tarragon, sage and bay leaf, plus a bag of green tea). I did not anticipate the volume of a pound of herbs. I transferred the contents of each large pack into small plastic sandwich bags. The bay leaves filled 17 and each other bag filled about 4.

What is the best way to store these several dozen sandwich bags of dried herbs and tea? Can I just put them in a large, airtight hard plastic storage container and put them in a cool, dry corner? (I live in the tropics, very near the equator where it is hot and humid, and my definition of room temperature and cool and dry may be different from yours.) I would put them in the freezer but simply do not have the space.

Further, if bags got put in the refrigerator, should I dry the bags open in the sun to flush out any moisture before storing the bags?