New laptop won't connect to my Wi-Fi.

<< Wi-Fi has the self-assigned IP address of xxxxxx and will not be able to connect to the Internet. >>

EVERY internet-capable device assigns itself such an address for identification purposes while it obtains a good local IP address from the Router. it is usually replaced in a few seconds with a good local IP address.

The symptom that yours is stuck at that point suggest the Router will not talk to you. This is most often caused by GROSS issues like bad cables or too far away from Router, than minutia like configuration.

(But you DO need to undo 'link-local only' and use DHCP.)

Hello serialspinner,

Welcome to Apple Support Communities. 

Congratulations on your new Mac. we are happy to assist you with connect to Wi-Fi.

These steps may help. Please try the steps here: If your Mac isn't connecting to the internet over Wi-Fi - Apple Support

1. "Restart your Mac
2. Update your Mac
3. Check VPN or other security software
4. Use the built-in diagnostic tools
5. Update the Wi-Fi router
6. Try a different network or contact your ISP"

Let us know if you have further questions.

Take care.