Wade,
thanks for the valuable hints. I was indeed able to create a much better version now.
http://cid-c56e60845cfa6790.skydrive.live.com/self.aspx/Pixinsight/andromeda_mosaik_4.jpg (1.9 MBytes)
It is still a far cry from other results shown in this group, but for me it was still surprising to see what could be done with with such raw material. Here, for the benefit of others, the essential steps that I did.
1. Stack both pictures separately. Apparently, darks/flats are just not enough to level out the differences of pictures taken separately (and on top of that, the flats I took during this night appear to have a problem...). This was easily done in DeepSkyStacker.
2. Process both pictures separately, except for the very last step
3. Find and read the DBE documentation. You'll find it bits in several posts in this forum, but the most complete set appears to be in a tutorial:
http://pixinsight.com/tutorials/LE/DBE-example/en.html4. Do the DBE. I used 20 samples per row, reduced the smoothing factor to 0.05 and set the sample radius to 11. With more smoothing or less samples, the background just would not go away.
5. As suggested by Wade: Stretch the result and inspect it for gradients. In my case, there were several "holes" in the result, caused by DBE samples in the vicinity of bright stars. Moving/deleting those points helped. This is indeed an iterative process until you find the best set of samples.
6. Histogram stretch, HDR Wavelet, ACDNR
7. Final Histogram stretch, taking care that both images have a similar appearance in Background, Color, Brightness.
8. Combine images using the Beta StarAllignment process in Mosaic mode, then some final retouching in GIMP.
I guess I could produce an even more pleasing result if I processed luminance separately, which I will do when time allows. But there is astrophotography, and then there is the rest of the life that somehow also consumes time...
Thanks for your help,
Georg