Yes, the unit is 3 levels up without elevator. I travelled on a backpack so it was fine for me, but I can imagine it will be tough for people carrying more stuff.
It was great that the unit was very close to the train station, and the room was rather spacious.
But other than that, room was not too clean, especially the floor that was quite sticky. Like other reviews said, the pillows were not covered.
The price was also a bit high for me for this level of accommodation, but it seems like prices are high all over central Edinburgh.