I live in San Antonio and while I don't have the years of experience that some do with home brewing, I've had great results with the water. I just hit the HEB and get the bottled drinking water in 1 gallon jugs. It's just bottled tap water sourced locally. I don't want all the micro nutrients filtered out and it's easy to measure. I trust the sanitation of the factories a lot more than the pipes in my apt.
As for keeping it cool, you'll see the suggestion on here time and time again to get something like a large Rubbermaid organizing bin, fill it half way or so with water and put your fermenter in it. I usually re-use a half gallon or gallon jug of applejuice from my Apfelwein and freeze it full of water then drop one or two in the bin to keep it cold. Sure, it's not an exact control mechanism but it works in small spaces or with small budgets.