Where would a technologically advanced group of people forced into space by a calamity obtain water from?
The fleet in my setting are forced to leave the planet due to a volatile virus, and leave in pre-prepared spacefaring vessels capable of transporting ten million people per ship. The ships have algaculture-based farms for sustenance, but food isn't nearly as important as water. Water can be recycled from urine, but urine can only be recycled so many times before it loses all of its benefits. Are there chunks of ice in space that the ships could collect and use for water? The ships could come with a massive tank of water to keep everyone hydrated for a lengthy amount of time, but it obviously wouldn't fully be recyclable.
EDIT: Can urine be infinitely recycled for water? I was under the assumption that less water content and more waste content would be made each time urine is recycled.
The ships are equipped for travel through both interstellar regions, and within solar systems. The main goal is to find another planet with permanent living conditions that suit their needs. Another Earth-like planet if you will. There's obviously not another Earth-like planet anywhere near our solar system, so these ships are going to be long term living conditions until another Earth is found in a far away galaxy.
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In addition to all the other answers, do also note that you don't need to necessarily obtain water, all you need is hydrogen and oxygen and you can create water.
Hydrogen is the most common element in the universe, but most of it is inconveniently in stars, gas giants or spread tenuously in open space. However hydrogen containing gasses could be obtained from places like the atmosphere of Titan. Some planets contain minerals that include hydrogen as well (generally wetter ones like Mars), as do some asteroids. If truly desperate you can also collect it from the solar wind and the interplanetary or even interstellar dust.
Oxygen is less common, but probably more accessible. Pretty much all rock contains significant amount of oxygen as part of its chemical makeup. Lunar regolith for instance is 42% oxygen.
In a closed recycling system you are more likely to be losing oxygen, since it is the more reactive chemical and is liable to become bound in various oxides that no longer participate in the cycle. So it is convenient that it is the more easily replaceable of the two. (And also the reason why almost everything contains oxygen in the first place.)
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