How to start quickly on a new server:
1) Spend your starting credits on:
Basic Factory
Standard Factory
Advanced Factory
Capsule Refinery
Factory Enhancer x4
Undeathinator
Turret Axis x2
Rail Docker x2
Bobby AI
Ship Core x3
Faction Block
Build Block
Shop block
Power Generators and Capacitors at a 2:1 ratio for however much you have left.
2) Don't bother making a mining ship, just make a little 3 block pod (core, power generator, thruster). Open your galaxy map with P and use WASD to move the cursor around until you find an unclaimed system with lots of yellow rings (aka, lots of asteroids) and at least one purple ring (a planet).
3) Set a course to that planet, and go straight there at full speed. Don't stop to look around, just shoot for that planet as fast as you can.
4) Get to the planet, place your faction block. Enter faction signature, claim system, make faction home.
5) Drop build block, and make a survival shelter. Set up your factories, put the enhancers on the refinery, set up your power.
6) Place and use the Undeathinator!
7) Build a basic turret out of your starting cannon blocks to defend your survival shelter. It won't do much, but it'll keep the pirates away.
8) Mine the planet by hand. Build Mode won't give you crystals/ore, so you gotta pull those blocks out with your suit laser. Gather resources of any kind for a while until you get sick of it. Put your resources in the Refinery.
9) Use your factories to build more power generators, thrusters, salvage modules, and a salvage computer.
10) Use a 3 block pod to leave the planet and get into space, then build a bare bones mining ship. Just salvage arrays, power, and thrusters. Don't bother trying to make it pretty or even put a hull on it. Just make as big of a salvager as you have parts for.
11) Mine asteroids. Pay special attention for green asteroids.
12) When you're done mining for a run, disassemble your mining ship and go down to the planet in a pod. Never try to land any ship of any real size on a planet. Even ignoring the lag, the wonky physics can do terrible things to a ship under gravity. If you want to keep the ship you have now, save it as a blueprint before you disassemble it, and then use your shop block to buy the blueprint back for free and use the blueprint when you take a pod back into orbit again.
13) Repeat steps 9-12 until you have lots of resources.
14) When you have eaten enough green asteroids, you should have lots of macet and nocx. These are the compenents needed to make Warp Gate Modules in your advanced factory. Those sell for 1-1.2 thousand credits each. Mass produce as many of those as you can, then sell them to a shop.
15) Soon as you get your first million, make a space station and move all of your stuff there. Make it your new faction home.
16) You are now fully established and ready to go!