I resolved an issue where my AirPods Pro were connecting to my iPhone 12 Pro Max, however, my device was glitchy/buggy while AirPods Pro were connected. Not only was it glitchy but the audio was not functioning properly on the AirPods Pro. Considering this issue was discovered day one of the purchase, I was very disappointed. The second gen AirPods worked just fine with my phone AND the new AirPods Pro also worked fine on a different iPhone 12 Pro Max. Only I was having the issue. The only difference between my iPhone and the other was that my iPhone was paired to my Apple Watch.
The issue was resolved by disconnecting the AirPods Pro AND unpairing the Apple Watch from my iPhone. The AirPods Pro were then re-connected without audio issues and without bug issues. Once it was determined that the AirPods Pro were no longer a problem, the Apple Watch was re-paired. Now all three devices run smoothly.
If you have any other devices (Apple Watch, Bluetooth Speaker, etc) that are connected to your device via Bluetooth, I would suggest unpairing them first before pairing your AirPods.