Nice Janne, Not sure what editing software you use but incase you are using Adobe Premiere Pro or similiar, have a look at this website.
2d3 - SteadyMove
What it does is it filters out camera movement and makes it go much more smoothly.
They have a demo you can try for free aswell..
As for the rendering there really are better options for web to keep the quality up. If you want some tips, PM me.