Following the marked trade routes around the core systems (the pink lines) is quite a good way to start off and get your bearings. e.g Sol -> Barnard's Star->Arcturus
(I think these are turned off by default, but going to the map screen and pressing F9 a couple times should turn them on)
Arcturus is a jumping off point to a number of surrounding systems. You will need something to shoot back with, though you're unlikely to encounter large numbers of enemies.
Ideally you want to be going: industrial/mining system -> agri system -> industrial and so on
(I think these are turned off by default, but going to the map screen and pressing F9 a couple times should turn them on)
Arcturus is a jumping off point to a number of surrounding systems. You will need something to shoot back with, though you're unlikely to encounter large numbers of enemies.
Ideally you want to be going: industrial/mining system -> agri system -> industrial and so on