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Some networks charge a flat monthly fee to use voicemail, while others charge for each individual voicemail message, or charge by the minute while you're connected to the voicemail system. Some networks even charge you for simply recording a voicemail message - even if you never bother listening to the message.

I have my uncle’s recording of him singing me ‘Happy Birthday’ on my phone recorder which I’ve saved since June 2016 which apparently cannot be recorded other than via speaker phone to a recorder that makes a poor quality recording. So I seem to be unable to delete it if I want to hear it again so my message machine fills up continuously. My phone is ATT. Is there any way for me to record it to save his voice to some other media so I can replay it to hear him again?(both he and my dad,his brother passed away). Are there any home phone systems available that either record to a removeable chip, cassette, or whatever which can be saved other than an audio recording to another audio recorder which declines its quality significantly?
Open your Phone app. Tap Voicemail. Select Greeting. By default, your voicemail will be setup with your carrier's generic greeting. To record a custom greeting, select Custom. Tap Record to begin recording your voicemail greeting. When you finish recording, tap Stop. To make sure you're happy with your new greeting, tap Play.