Don't know about 4 ft barrels... Sealed plastic sheets could work, how long are you storing them?..
You for sure want to keep them away from any walls and raised off the ground (cinder blocks) and you will want to spray the flooring before storing and spray the storage space inside & out, the space should have some air flow & be easily accessible as you will want to check the space every two weeks (?).
Not knowing where you plan to store your flooring, if it is solid wood or laminate, and whether it is prefinished makes it difficult to answer your question. However, wrapping it in plastic if unfinished and solid wood is guaranteed to encourage mould and warpage. Raw wood needs to be stored with as much air flow as possible around it. More detail would help give a better answer.
Since you're storing inside, first priority would be a dehumidifier. Any amount of wrapping/sealing will not keep out humidity. And with a prefinished floor there is no fixing warps later.This is finished wood. Likely laminated. Can it be wrapped in plastic? Will be stored for the time being inside an apartment (3rd floor).
Since you're storing inside, first priority would be a dehumidifier. Any amount of wrapping/sealing will not keep out humidity. And with a prefinished floor there is no fixing warps later.
If you're buying new, it's prob already strapped with nylon bands, definately leave them on...
The floor presumably was floating, meaning not nailed or glued to the subfloor (otherwise it wouldn't be in such good shape). Do the sides and edges have a locking mechanism or just a plain tongue and grove? Most of the later laminates are of a composite with just the thin laminated wood look on top. These do fairly well in storage. Some are engineered and the meat of the planks are more like plywood. These tend to warp more.