The author has discovered a total of five signs of the fellowships’s journey:
Signs of the Fellowship
A small set of plates and cutlery.
Location: The Western Halls, near the west gate, in front of the first camp
Note: The item can be destroyed.
Pippin’s Stone
An inconspicuous stone on the ground.
Location: The Lower Deeps, on the way to Durin’s Gate
Gandalfs Hat
Location: Eastern stairs at mid-height; up the stairs to Khazad-dûm
The Fall of Gandalf
Location: Bridge of Khazad-dum; eastern bridge; directly in front of the bridgehead
The Cave Troll Fight
Location: directly by Balin’s grave, just before you enter the city of the Dwarrowdelf
The Fellowship’s journey: Locations, Return to Moria
You can’t walk past the locations of the Fellowship’s journey. But you can still miss them. Some are just small inconspicuous details on the ground, others are clearly visible objects.
I have tried to describe as well as possible where I found these items and locations. Unfortunately, I failed with Pippin’s Stone.