medgen

Hello, This past weekend I purchased a very small 'pool' for my children. It is 8 feet in diameter and holds water about 36 inches deep (total volume ~ 1100 galons/4200 litres). It also comes with a small filter unit that we can run for several hours per day. We filled the pool yesterday and our young kids are loving splashing around in it. Unfortunately it is already taking on an unmistakably cloudy appearance. We are of course concerned about the health of our kids but do not want to be continually replacing the water in it every couple of days. Instead we thought perhaps adding a very small amount of pool chemicals (chlorine/bromine?) might be a good idea. However, we have no idea where to start. If anyone has any suggestions for such a small pool please let me know. Thanks in advance!