It seems foolish to buy more hardware to record from the iPhone—the most advanced hardware in your pocket, if not your entire home. But the option exists.
From the My Phone Service page, scroll to My voicemail and select Set up voicemail. Choose your voicemail box type. Select Advanced voicemail (suggested method), and then select Next. Subaccounts voicemail access and phone number assignment. Add name and assign each phone number a name to easily identify who is using the line. Select Continue.

With Visual Voicemail on iOS 9 you can listen to a Voicemail easily and you can also save or send a message on to someone else through iMessage or email.
Here are several tips to consider when setting up a professional voicemail greeting: Keep it brief and concise. Give options to get more details. Ask for detailed messages. Be enthusiastic and identify yourself and the company name. Use positive sentences. Take messages accurately and completely. How do I change my voicemail greeting? On your Android device, open the Google Voice app . At the top left, tap Menu Settings. In the Voicemail section, tap Voicemail greeting. Next to the greeting that you would like to use, tap more Set as active. How do I delete my voicemail greeting?