Just remember the authors are suggesting copper pots for water storage in developing countries, where people have more chance of dying from diarrhea than from prolonged exposure to copper.
If you have old copper pipes you're probably fine. An oxide coating builds up on the pipes over time that prevents the release of copper.
If you have a water filter you're probably fine (although check the particular filter to see what it removes.) You should have a water filter anyway if you live in any area that used to have industrial sites.