Ben loh, You would be amazed what can be in Distilled water.
With ANY water source (including tap, bottled, RO, DI, and RODI), you must test your end result water. The easiest way to do this for RODI is to use a Total Dissolved Solids meter (TDS for short). The reason why TDS works for RODI is that you are shooting for no TDS. The problem with using a TDS meter for distilled and other sources is that there is no way to know WHAT those dissolved solids are. If they are say calcium, we dose our tanks with calcium, same thing with iron, magnesium, sodium salts, etc. If those TDS are things like lead, copper, arsenic etc, you could be in trouble.
Personally, I would prefer to shell out $120 (which is a small cost compared to the thousands I know I spend on my tanks) for a RODI unit from Bulkreefsupply.com, than have to worry about what those TDS are.
If you still don't want to get a RODI unit, with distilled and tap (even sometimes RO), test for what you can. As a possessor of a fish aquarium, you should at LEAST have ammonia, nitrite and nitrate tests. Test your water. If you have a calcium test, often the primary TDS factor in water will be that, so if your TDS meter reads in PPM, you can subtract PPMs of calcium to get your "unknown" TDS reading. Try to get that below 10 for a FO/FOWLR tank, and if it is a reef, JUST GET A RODI UNIT!!!
Getting back to the point of this thread, I have always stored in 5gal unused paint buckets with snap on lids, and mixed in 35G garbage cans.