Finally moved iPod out of my iPhone dock because, um, I barely use it and SMS is a major part of my regular communiques. Also I never listen to voicemail.
Since you’re a voicemail slacker like me, I suggest PhoneTag, a service that intercepts your voicemail and instead sends you an email with a human-done text transcription and the audio as an MP3 attachment.
Then they become emails that you can quickly skim (and possibly ignore).
The only disadvantage is that it completely takes over from the built-in voicemail, so voicemails will no longer go to Visual Voicemail at all. It was worth the trade-off to me.