You know how there are trash cans all over the place, but you can only loot some trash cans?
Now the same thing will happen with dumpsters.
They’ll show up as pink containers on the minimap (I think, I don’t think that’s an addon thing). You can also get addons that will alert you if a lootable dumpster or trash can is near.
The text from the renown track indicates that you need to talk to the main weekly questgiver and quartermaster guy in the hotel and do something to activate it, it’s not true. You should be able to just find them now, all over the map.