ToothFairy is described as 'AirPods are great, but they don’t work quite as smoothly with Macs as they do iPhones'. There are five alternatives to ToothFairy for Mac. The best alternative is AirBuddy. It's not free, so if you're looking for a free alternative, you could try AirBar. Other great apps like ToothFairy are Toothpicks (Paid), AirCtrl (Paid) and Juice App (Paid).
AirBuddy brings the same AirPods experience you have on iOS to the Mac. With AirBuddy, you can open up your AirPods case next to your Mac and see the status right away, just like it is on your iPhone or iPad.
AirCtrl is a simple menu-bar app for macOS that simplifies the pairing process with AirPods. Open the AirPods case next to your Mac and they will instantly pair without any click. A custom notification will show battery status of your AirPods and case.
Connect and view your devices with ease Have instant access to your favorite devices from • Macbook Pro Touch Bar • macOS Notification Center • Built-in Control Center in the Menu Bar, launchable with global hotkey First Useful Touch Bar App...
AirPods allow for "Seamless switching" to keep them connected to both our iPhones and Macs. However we are still required to manually select a bluetooth device to direct audio to AirPods when switching from iOS to MacOS.