How do I transfer saved passwords from my old phone to my new one?

Greetings, MontyGrams.

In order to transfer your passwords, you’ll need to set up iCloud Keychain.

“Set up iCloud Keychain

With iCloud Keychain, you can keep your passwords and other secure information updated across your devices.

iCloud Keychain remembers things, so that you don't have to. It auto-fills your information—like your Safari usernames and passwords, credit cards, and Wi-Fi passwords on any device that you approve. Have more questions about iCloud Keychain?

How to turn on iCloud Keychain

When you update your device to the latest iOS or iPadOS, the setup assistant asks you to set up iCloud Keychain. Learn about availability by country or region.

Turn on iCloud Keychain on your iPhone, iPad, or iPod touch

1. Tap Settings, tap [your name], then choose iCloud.
2. Tap Keychain.*
3. Turn on iCloud Keychain. You might be asked for your passcode or Apple ID password. 
4. 

Turn on iCloud Keychain on your Mac

1. Choose Apple menu  > System Preferences. 
2. Click Apple ID, then click iCloud in the sidebar.
3. Select Keychain.*
4. 
5. 
   
6. If you choose to "Approve Later" when signing in to your Apple ID, you need to approve with an old passcode or from another device when prompted. If you're unable to approve, reset your end-to-end encrypted data when prompted.” Set up iCloud Keychain

We hope this helps! 

Sincerely.