How do I update Safari on my iPhone 8 Plus?

Tap Settings > General > Software Update

Follow directions as displayed. Be sure your device is connected to the AC charger or is fully charged. Perform a backup before upgrading.

ladyrib Said:

"Safari: How do I update Safari on my iPhone 8 Plus?"

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Go Here: How to update to iOS 13 or iPadOS - Official Apple Support

1. Backup your iPhone first, that way you can have something to recover your iPhone from, should anything go wrong with the upgrade.
2. Then, Upgrade to iOS13, using either the iPhone itself or your computer.

By upgrading iOS.