While it's true that tetras like cardinals and neons prefer soft, acid water to really thrive, cardinals are also among those fish that are quite hardy in a broad range of normal freshwater tank/hobby conditions. A pH of 8.0 is still more or less in the range of pH we see in the hobby as a fairly average tank and I suspect your cardinals will do just fine in it. If they don't then it might be time to start testing the KH and GH and getting in to the topic further.
Going back to some of jimlester's original questions, you know, I have to say it's a funny thing as time goes by. As a re-beginner, I've ended up giving out a fair amount of advice to other beginners (based often on lot's of reading here on TFF, but occasionally from something I happen to have years of experience in) but for some things it seems to get harder over time instead of easier. Advice about hard and soft water and about altering that hardness or the pH that secondarily results from it is one of those areas!
As your experience in the hobby grows, you realize that doing major alterations to your basic tap water is not necessarily difficult, once you gained the right knowledge. OM47 is a trusted source of good, reliable and easy to understand water hardness knowledge and he's given some up there.
The caution with any sort of chemistry that moves your water away from what you already have from the tap is that it's important to realize the level of commitment. The tap water will no longer be the emergency water within easy reach, it will now need to be properly altered (mixed with RO, for instance) before being used in a water change, even an emergency one. You can read more about this topic in an article Robby and I wrote:
Robby pH/hardness Article
~~waterdrop~~