My list of starter tips (Hope it helps):
Always keep your destination timer at 7 seconds til you get within 5Mm of drop, bind 75% throttle to help w/this. Save yourself from THE LOOP OF SHAME. Starports have arrows pointing to their entrance when you look at their holographic popup while locked, by the way. Also ALWAYS bring a size-appropriate Fuel Scoop when travelling, and use EDDB for trading/selling. Mining for large profits takes at least 1 medium and 1 small Hardpoint (Seismic Charge Launcher and Abrasion Blaster). Finding new systems will easily eat up 2,000 or more LY travelled, but it earns copious exploration Credits. Always watch out for Gravitational Distortions, and whenever in a Black Hole occupied system watch out doubly so. Never bother those alien flowerlike ships and they typically wont bother you except an occasional scan or zealous interceptor. Do not engage bigger class ships if you aren't kitted fr 100% combat, or well defendable. Throttle down every jump as you hear the grinding sound, if it doesnt pop you at 30km/s throttle manually while pitching away from the star's CoM. Explore everything you want to see, but play it safe. And if all else fails, turn tail and boost away.