water filtration/purification

[ForgeCorvus]

Fiesty: Milk bottles are a bad option, basically because the lids aren't the best (thats why you have a foil seal inside them).
Pop bottles are better as they're designed to not leak either gas or liquid..... Your cleaning plan is fairly certain though, so I'd go with that using better bottles

Run the tap until you can smell clorine then fill your bottle, no extra bleach should be needed

The reason for not using tap water to rinse contacts is because of disolved and suspended in-organic crud (limescale and the like) coating or damaging the lens.
Otherwise we'd be told not to get tap water in the eye when showering.