which are the best grammars and lexicons as a reference for reading and improving our understanding of the Homer and Early Greek Poetry?
I worked on Pharr’s.
Homer lexicon: Cunliffe’s Lexicon of the Homeric Dialect (that rather than Autenrieth’s Homeric Lexicon). For serious work, and other early epic, the Lexikon des frühgriechischen Epos.
Grammar: Chantraine, Grammaire Homérique, but many Homer commentaries (e.g. Stanford’s Odyssey) have an introduction on the grammar too.
Good luck!
Everything that Michael says about these things is gospel. For quick online reference:
http://dcc.dickinson.edu/homer-iliad/intro/paradigms
And Cunliffe: