Fresh water fish can live in tap water but most tap water has chlorine. When you set up the aquarium, run the filter for half a day before you put in the fish to circulate the water and let the chlorine dissipate (it will naturally go out into the surrounding air). Leave the cover off the tank during this period.
When you add new water, you can buy a chemical at the pet store that will neutralize the chlorine, or you can just let the water sit in an open container for a few hours before you put it into the tank. Actually that is a good idea regardless so it comes to the same temperature as the tank water. Water from the tap can be a lot colder or warmer than the tank water and will shock the fish, sometimes killing them.
If you have a reverse osmosis water filter (tank under the sink with a special filtration system), you can use that directly, or purified water that you buy at the store.