From my years in the fuel cell industry, di-water does not store for long. If you use good containers, 316 SS and some plastics it will stay pretty good at 3 to 5 MegOhms for a couple of days, maybe.
The problem with high purity water is that it is incredibly corrosive. What it does to Aluminum is not pretty. Distilled water maybe di-ionized but not necessarily. Distilling kills organic contaminates but does not necessarily reduce ion to a high purity. Di-ionized water likewise may not be completely organic free. For fuel cells we used distilled water as a source for our di-ionizer to get greater than 6 MegOhm water, 18 MegOhm out of the di-ionizer and >6 MegOhm into the fuel cell.
Distilled water from a drug store should be good enough. Some of the pure drinking water may be good enough, just beware of the Mineral water drinking water it is most definitely not di-ionized.
Bob Parry