I have found a great place to learn Azeri! Ana Dili Azerbaijani blogs aim to teach Persian speakers how to speak Azeri. If you have a few minutes, take a look for yourself and see if this is of interest to you. The general idea is explained on this page, and this is the address for the blogs:
There have been eight lessons so far, with some grammar and some conversation lessons. There is also a growing Azeri to Farsi dictionary available on the site. I hope you find this useful. Təşakkür edirəm and yashasin Azerbaijan! Some day, I hope to be able to understand what these words by the legendary Rashid Behbudov mean without help:
