I find that to help train your eye, look at an object (Galaxy or Nebula) for about 5 minutes. Don't just look and say "ooo, pretty" then move to the next object. You will miss too much.
The longer you can look at an object, the more you will see. Use averted vision in all parts of the view, look at the centre and you may see the outer lighter bits, try see any dark sections mixed among the light sections. If possible, attempt a drawing of the object. This is a great way to notice detail.
After about 5 mins, go to another object and try the same procedure.
The advantage to doing it this way is that the next night you look at the same object (not the same night), you have already trained your eye to notice some of the detail, and hopefully you will notice even more during it's second 5 minute visit.
The third time even more!!!
I often spend 15 minutes or more on a particular object, and even after seeing the object probably 50 times or more, I can still see new detail I hadn't noticed previously!!!
Recently while having a good loooong look at a faint tiny galaxy in Doradus, I noticed a few other fainter smaller galaxies way off in the background that I had never noticed before!
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