Where do I start? When you start you get Tera Gold very little capitol to start with, which means the beginning of your mining career will head off slowly. Is it imperative you get Mining IV as fast as possible, which will allow you to use Miners II, which are cheap and much better than the tech 1 versions?
First of all, get out of your Ibis of Doom as fast as possible. The best ships to start with as a newcomer are frigates. They are cheap and fast and do the job well.
Fortunately, some frigates have a bonus to mining. The Caldari Bantam is the most suggested ship; it has a nice cargo and some bonus to mining. Fit two miners on there and you are set to start what hopefully will be a healthy career.
Any mining techniques, Yes, in fact, there is a widely used technique called jetcan mining. The process is quite simple: you mine until your cargo is full, then jettison the ore in a can, and keep filling this jettisoned can until it is full (27450m3) (cargo->can).
This saves you the time you would need to travel from the belt to the station every time your cargo is full. Once your can is full, switch to a hauler and haul it all to the station (more details later). Simple as that and very efficient!
