Hello and welcome to Apple Support Communities, KonfusedKathy.
If I understand your post correctly, you'd like to sync the Safari browsing history between devices so deleting the history from one will affect the other. I'd like to help.
Follow these steps:
On your iPhone, iPad, or iPod touch:
- Go to Settings > [your name] > iCloud. If you're using iOS 10.2 or earlier, go to Settings > iCloud.
- Make sure that Safari is on.
- Complete these steps on all of the devices where you want to share tabs.
On your Mac:
- From the Apple menu, choose System Preferences, then click iCloud.
- Click to turn on Safari.
- Complete these steps on all of the devices where you want to share tabs.
See the full article here: Set up and use iCloud Tabs
Let us know if that resolves this issue for you.
Thanks for using the Apple Support Communities. Take care.