5 tips for new players!
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Trading guide (how to find out what to buy/sell where):
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'NPCs are awesome' guide (Don't forget to talk to NPCs!)
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Sensor stations & Secrets
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Science Officer & Secrets
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As not everyone likes watching videos. I also typed out the tips from the '5 tips for new players' video:

1) Docking to stations can be done effortlessly with the following guidelines. First line up your ship with the galactic plane (hold right ctrl), and then line up your ship with one of the blue triangles on the compass. Put your ship at around 1000 speed and press F8 (or your equivalent of hypersdrive). You'll land exactly in the spacestation you selected!

2) When you just start out you have a small ship that can do quite some things, but isn't really specialized. You can (for a nominal fee) completely reconfigure your ship. For example, you can take away countermeasures and protection, and add more cargo-bays or fuel pods. You can do this in a station by pressing 'enter station' -> 'shipyard' -> 'frame config'.

3) For mining, try to buy a deploy constructor and bring 2 metal with you. Once in an asteroid belt, build a mining probe. While I mined about 75 minerals, the mining probe mined another 100 for me, greatly increasing efficiency.

4) In order to find out where to sell things, use the navigation map. You can click on 'territory' or 'technology'. When you then hover over a system on the quadrant map, to the left will be a menu with red/yellow/green bars for each commodity. Sell in systems where the thick bar is green.

5) A fuel converter is quite handy. You can mine in e.g. stars, planet rings and nebula for fuel. However, the nice thing is that if you're in a nebula, and you mine asteroids...it 'mines' fuel at the same time! Thus, by using a mining probe, a fuel converter and manual mining, you can increase your profits by quite a bit. You can sell fuel by entering a negative amount in the refuel window in a station (don't sell all your fuel...I once accidentally ran out while flying towards a planet...the landing wasn't pretty :p).