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I usually fill an empty eye drop bottle(like clear eyes or visine)with lube. I sort of judge how much I think I will need for the distance I am planning. For fast weekend trips with just a credit card or a hammock, I use a really tiny eye drop bottle from a family members prescription, enough for just one lube, if needed.

As to water bottles, I use camelback bottles, and the polar bottles. Never noticed a taste. There is also Kleen Kanteen, a stainless bottle. Its a little heavier, harder to drink out of, and I hardly use mine anymore. In the winter I use a thermos style bottle, like the hydro flask, filled with tea. It good to take a swig more often than you might want to stop, so at least one good bike bottle might be nice.