The archival slides and binders are ideal for long-term preservation, and, in a professional or museum archive, these would obviously be contained in a secure and climate-conditioned environment. SFAIK, plastics are not routinely used, due to long-term considerations of stability, but others can advise more specifically.
OTOH, I don't think that I'd worry too much about keeping my own negs in one of the Muji-type boxes temporarily (perhaps a few months) in normal domestic conditions, maybe with a few silica drying bags, as mould and damp are big enemies. I've used Muji boxes to hold recording tapes, etc. , longterm, with no issues.
I'm in the UK myself, so my climate conditions are fairly moderate. But I'm wondering if you are elsewhere, and why you mention floods, etc.? Are there are any specific unusual or climatic risks worrying you. If so, it's really a case of how far you want to go to protect your negs .....do you value them enough to put them in a safer or more secure location while you're away ?