how to remove Any Search from my browser

 1. Remove Adware

     Run  the latest release of Malwarebytes for Mac to remove malware/adware, if installed on your Mac.

     For instructions:  Install Malwarebytes for Mac          Uninstall Malwarebytes for Mac

     Click the “Scan Now” button. Once done, quit Malwarebytes for Mac.

     Restart the computer and relaunch Safari holding the shift key down

     Repeat the scan couple of times.

 2. Additional steps to take if necessary.

  1. Remove unknown profiles.

      System Preferences > Profiles

      Open System Preferences, click the “Profiles” icon ( a checkmark on a gear) .

      When Profiles pane opens, select the unknown profile and click the minus button at the bottom.

  2. Remove unknown extensions: https://support.apple.com/guide/safari/use-safari-extensions-sfri32508/mac

  3. Reset search engine:    https://support.apple.com/guide/safari/customize-your-search-ibrwe75c2a3c/mac

  4. Reset  Homepage.   https://support.apple.com/guide/safari/set-your-homepage-ibrw1020/mac       

   5. Ref: https://forums.malwarebytes.com/topic/236261-how-to-remove-weknow-malware-and-others/

  6. Shutdown the computer from  menu. Start your Mac using the Power button.

If necessary, follow the manual instructions.  Do not download any other programs that are listed in the articles.   

Search.anysearch.net uninstall

For the Home Page, see if anything here helps.

Safari Homepage setting greyed out 

Home Page Locked - https://discussions.apple.com/thread/8058186

Safari – Home Page    see post by thomas r.