There is a FREE service that Google offers with their Google voice, which is also free, that will convert and then text/email you all of your cell phone voicemails.
You never have to check your voicemail again! Also, if you want, you can log into your Google account and listen to the voicemails online. This stops your voicemail box from getting full, and allows you to pick, choose, save, rewind, and fast-forward when checking your messages.
I have my voicemails sent to me in text. It is great and saves me time.
I hope this helps.