Private Search clears your search and browsing history when you quit the app or close all Private Browsing tabs and windows. While this doesn’t make you anonymous to websites or your internet service provider, it makes it easier to keep what you do online private from anyone else who uses this computer
Safe Search allows you to increase your searches safety by filtering hazardous, adult oriented and inappropriate content. Safe Search isn’t 100% accurate. But it can help you avoid explicit search results on your browser.