SafeSearch is a particularly dangerous hijacker.  It will take over your browser and send you to sites that you neither requested nor have any interest in visiting.  Many of these sites are pornographic in nature.  In addition to redirecting your home page, it will display unwanted advertisements.  Many of these pop-up ads are also pornographic in nature.  If your computer is infected with this malware, it is very important that you have it removed immediately.  SafeSearch also has the capability of updating itself.
SafeSearch is not something you want to have on your computer.  It is malware in its truest form.  Your first line of defense is to use a trusted anti-spyware program to get rid of this junk software.  SpyZooka is a trusted system and has been used for years by many satisfied customers.