How do I chill water without a refrigerator?
I'm really not sure this is a chemistry question. 

Having said that, evaporative cooling will do the job for you. Here on the Indian sub-continent a clay/earthenware water container works wonders using the technique of evaporative cooling. 

In the absence of earthenware, wrap two pieces of thick cloth of the appropriate size around your containers. Keep both cloth wet/moist, and let nature do the rest.

You may also consider taking a bit of pot luck