Can anyone help me? I have exited the welcome centre on Tatooine. How do I go into the starport?

Right, I am in the starport, I want to fly to corellia (the planet) how do i?

Head to the Docking Bay room using the arrows and stair icons. Once there, click the travel button located roughly in the middle of the screen. Below that on the loaded page should be a button labelled Spaceflight or something similar. Then you should be able to choose your destination.