Beathaven
Worthy of Mordor
Durin's tower/endless stairs
Considering the height of the actual misties, it might be an idea to build as much of the Endless Stairs in "world" before in teleports you to "moria" where it might become a larger room. Aside from this, the placement of the different heights of Moria, does not nessecarily mean they will be on top of each other in that sense, and thus less teleporting is needed to connect the different levels to the Endless Stairs.
Canals
An altered flow of water, the dwarves with their high technical skills would be able to do that, is still really handy to transport stuff. Put it in a boat, and off it goes. Water physics don't change in a cave.
Considering the height of the actual misties, it might be an idea to build as much of the Endless Stairs in "world" before in teleports you to "moria" where it might become a larger room. Aside from this, the placement of the different heights of Moria, does not nessecarily mean they will be on top of each other in that sense, and thus less teleporting is needed to connect the different levels to the Endless Stairs.
Canals
An altered flow of water, the dwarves with their high technical skills would be able to do that, is still really handy to transport stuff. Put it in a boat, and off it goes. Water physics don't change in a cave.