Reddit mentions of Athenaze: An Introduction to Ancient Greek (Workbook I)

For a real "nuts and bolts" approach, I would use Hanson and Quinn's "Greek: An Intensive Course". It's intense indeed, but it shows you everything behind the curtains since it is a grammar based approach. The are a lot of other books. Some like Athenaze try to use a more intuitive (and slower) approach, with a lot more vocab. I'm sure people here will have other suggestions, but I don't have experience with Reading Greek.