Zorg Empire

What is a good way to start? I mean, after finishing the tutorial...

For now, I can build Light Fighters, and Small Cargo Ships as ships, and Rocket Launcher and Light Laser as defense.

How many of these should I have? As many as possible? And switch production as soon as I develop better technologies?

It depends on your style. I would go raiding with large cargos on inactive planets on any universe.