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Food-grade water containers with taps
Stackable containers with a spigot, or a small number of larger ones you will not have to lift.
Why here. Two weeks of water for four people is fifty-six gallons. That is four hundred and sixty pounds. It is a storage problem before it is a purchasing problem, and containers you can pour from without lifting are what make it workable.
“Repurposed juice bottles and two-liters are free.”
Food-grade plastic that held a beverage is fine, cleaned properly and rotated. Milk jugs are not, because the protein residue never fully washes out and the plastic degrades. What you cannot do is use containers that held anything non-food, ever. If free containers are what gets you to two weeks this month, use free containers.
“Just buy a rain barrel and be done.”
Rainwater harvesting is a real capability and it is not this list. It has different equipment, different treatment requirements, and different legality depending on your state. It belongs in a water self-reliance guide, and pointing at it here would be pretending that a barrel and a filter are interchangeable.