Are there any books or comics that give us more information about Luke's early life, between arriving at Tatooine and leaving with Obi-Wan?
Luke's life on Tatooine, including the raging excitement of trying to fix 'vaporators with a faulty droid, sandstorms, trying to buy power convertors and his bizarre nickname (wormie) are all covered in the deleted scenes from Star Wars IV : A New Hope.
You might also be interested in the Star Wars Radio Plays which covers much of the same material.
If you're dead set on reading, these events are covered in the original novelisation and in much greater detail in the Radio Plays collected scripts as well as the original Marvel comic adaptation of A New Hope.
Adventure in Beggar's Canyon is a children's paperback. The main plot is that a young (14 year old) Luke and his friend Windy who crash their T-16 skyhoppers while attempting to "womp rats at Beggar's Canyon". Again they're saved by Ben Kenobi.
Old Wounds is a non-canon comic in which Uncle Owen and a very young Luke are threatened by a revived Darth Maul in order to draw out Obi Wan. Because of this experience, Owen tells Obi Wan to stay away from Luke and his family.