Even though they are important, I was able to start with the easiest things. I think I'm going to publish the whole tutorial at once. I think the work will be finished in the week between 11.2. and 18.2., maybe earlier.
On this video you can see how one axis moves slowly. The x and y axis already work. The steppers run much more silent than before with the Moshidraw controller.
Unfortunately the limit switches haven't arrived yet so I have to turn off the machine before the laser head reaches the limit and crashes. So I can't control the machine with the arrow keys yet.
All in all I'm happy with my work. More will be uploaded soon.