n00b Stage ~55.8hrs
It's a long haul till Amarr cruiser lvl3. It's a tier5 skill and you'll need 40,000 points, starting from scratch. Take advantage of this lull by piloting your new Bestower 'indy'
Initiate Stage ~10.6hrs
This is your push for Science lvl3 so you can train Cybernetics (implants.) There's a number of very useful skills along the path of science
Veteran Stage ~41.2hrs
This will be the long stretch...I'd recommend doing the tutorial sequel's storyline missions for the free implant, now that you can plug them in. At this point you're thinking about the Prophecy-class Battlecruiser, since Mining Barges aren't worth the paper the bpos are written on. You'll need Spaceship command lvl4 for the miner barge. That's nothing to sneeze at...you might even consider training 'Instant Recall' to level4.