I'm not an expert, having done this once, snd if you search for forum threads here and in xda about chainfire you will find plenty of experts. In my opinion, any attempt to root your phone is dangerous and could brick your phone. But Chainfire has done an impressive job of automating the process, leaving you as few as possible opportunities for error.
Some tips:
when loading supersu for the first time be sure to disable knox. It's a security utility from samsung to make sure you don't do anything dangerous or immoral with your phone, such as removing bloatware. If you don't disable it at the right time it can be devilishly difficult to kill
If your phone is under warranty be sure to do the triangle-away step.
Be sure you have a root-capable file explorer
If you run into trouble deleting or moving files on SD search Google Play for SDFIX.