You can connect the Audigo mic to up to four iOS devices, then switch between them by just closing out of the Audigo app on one device, then opening the app on another device.
First you need to go through the pairing process for the additional iOS devices you want to use. Start by downloading the Audigo app on the new device. Then put the microphone back into Bluetooth pairing mode to connect to that new device.
To do this, hold down on the power button in the mic until the LED turns blue. Resetting to pairing mode may take up to 20 seconds. During reset, the LED will go from white, to off, to white again, and finally blue after about 20 seconds.
Then launch the Audigo app on the new phone and follow the prompts on the screen to set up. If the mic goes to sleep during the app set up, just tap the button on the front to bring up the blue light again. If you have already set up the Audigo app on the new iOS device, tap the mic icon in the upper right of the app when the LED on the mic is blue.
Once you have the new iOS device connected to the mic, if you quit out of the Audigo app by swiping up, the previously paired iOS device will connect to the mic automatically when you launch the app on that device. And vice versa.