After creating a new Zapier integration on TinyVoicemail, you'll be presented with a "Zapier Key" that looks similar to your "API Key". Please note that these two are not interchangeable.
With a Zapier Key in hand, head to https://zapier.com/developer/invite/97301/3cb25a02d04ea50df0f30e47b88b4294/ to be invited to the Zap. Because we're new to Zapier we need to do this. It's lame. We know.
The rest is up to you.