Hi there bossom55,
We understand you're trying to turn off Google trending searches on your iPhone and laptop. We'd be glad to assist.
Check out this article from Google regarding trending searches: How search predictions work on Google
"iPhone & iPad
Turn off trending searches
If you don’t want to get trending searches, you can change your settings.
- On your iPhone or iPad, open the Google app .
- At the top right, tap your Profile picture or initial Settings General.
- Turn off Autocomplete with trending searches.
Computer
Turn off related searches
If you’re signed out from your Google Account when you search on Google, you may find recommendations related to your recent search. If you don’t want to get these, turn off Search customization.
- On your computer, go to google.com.
- At the bottom, tap Settings Search settings Search Customization.
- Turn off Signed-out search activity is on".
For SafeSearch, see this article: Filter explicit results using SafeSearch
Should you have any further questions, contact Google Help.
Cheers!