Look online or within the newspapers to determine if the community college or other educational institutions are offering classes in Ancient Homeric Greek. Even though ancient Greek is no longer part of the standard curriculum, some schools offer courses in it. You might also be able to find a private tutor if no classes are available.
Obtain a Homeric Greek grammar book, dictionary, and verb book. These materials will serves as valuable reference and a guide for self-teaching. The grammar book will help to define the grammatical rules of the language, the verb book will teach you how to conjugate and use the verbs, and the dictionary will enable you to continuously learn new vocabulary. Each of these three components is necessary when learning Homeric Greek. A classic reference option for a beginner is Clyde Pharr's "Homeric Greek: A Book for Beginners." It contains beneficial translation exercises, as well as literary examples. It can be downloaded for free (see Textkit in References)
Review the grammar, verbs, and vocabulary each day. By studying a particular section of the books on a daily basis, you will increase your understanding of the language. One of the reasons why this concept is so important for Homeric Greek is because this language is not currently spoken. Therefore, you will not have constant exposure to it.
Test your understanding of the rules that you review. Practice your spelling as well. You can do this by making a practice test, using flash cards, speaking out loud, or having a friend test you.
Obtain some untranslated literature that was originally written in Homeric Greek. If you also have a translated version you can learn by comparing the two. By reading the work in its original language, you will improve your understanding of the language and observe the proper use of sentence structure.
Purchase a Latin grammar book. Homeric Greek and Latin are both classic languages. Therefore, they have many grammatical similarities. Knowing some of the Latin grammatical rules will help you comprehend the grammar rules of Homeric Greek.