If so how long can it be stored, what are the disadvantages of this, what could be a potential problem.. I have read that many people do store there water in containers after they have mixed a large batch

Had a Google, and the suggestion is that it can be kept indefinitely with no movement, and no heat if there's no bacteria in it, and the container is kept sealed.  So, given there will be bacteria, as it's in the air and I doubt you'll be irradiating the containers, I'd say you could keep it for a few months (out of the light if possible), then heat and aerate it before use.

I'd chuck a heater and a little pump, or an airline in there and leave it overnight to warm up.  It'll be plenty aerated by then too.