The problem with the tabs is that if you use them for a long time and don't monitor your CYA levels and adjust your chlorine levels accordingly, you can have algae issues. Here is a chart that shows the connection between CYA and chlorine:> http://pool9.net/cl-cya/

When you get your kit, test your CYA level. You may already have a significant amount of CYA in there between the trichlor tabs, dichlor shock powder and the stabilizer you added.