Before you get too scared, the presence of the virus is one thing but the viral load is what is important. If any human gets exposed to a few hundred viruses there will not be an infection. It takes millions of viruses, or at least hundreds of thousands.
So it will probably months or even years before we get a handle on just how contagious it is to handle money, for instance. But just because the DNA of this virus was found on money does not tell us for sure how contagious money really is.
That said, if you live in an area with a lot of cases, then, as an example, you might always use a credit card for purchases, or never take change and let them have it as a tip. If you live in an area with a lot of cases, then you live among the stupid people, as in a red state.
But if you live in a state where the majority of people are doing the right thing, and the numbers reflect that, then it is very unlikely you will catch the disease from surfaces.