You should decide on Homeric or Attic first
Read this:
viewtopic.php?f=2&t=3251If you go with Homeric, there are some very good resources available here. As Adelheid pointed out, there's Pharr's book in pdf form, which looks very good. I have it in book form and may take a run through it after I do my current bit of study in Attic Greek. Once you go through that you could use a reader like one of these available in the "Learn Ancient Greek" section:
Book Twelve of The Odyssey in Greek • Richard A. Minckwitz
The Iliad by Homer Books XIX - XXIV in Greek • Edward B. Clapp
The Odyssey by Homer Books V - VIII in Greek • B. Perrin
If you go with Attic Greek, you could use one of these and profit from the experience:
A First Greek Course • Sir William Smith
First Greek Book • John Williams White
I opted to use Hansen and Quinn's textbook, others like Mastronarde's text; still others have used
Athenaze and liked it. But these last three exist in book form only and you'd have to buy them.
I'd follow Nate's advice and get a few or have access to them so you can consult one for an answer when another doesn't explain anything to your liking.
I'd also like to add Paine's
Beginning Greek: A Functional Approach, which employs an inductive approach. You'd also have to buy this one—no free pdf.
Keep it rill.