I’m also in Edinburgh and there’s a couple of things that I’ve found I have to do there that I’ve not had to do anywhere else I lived.
Edinburgh’s very large seagull population has often resulted in big streaky bird poo down the window and that mixed with the not infrequent heavy rain can mean the windows get dirty quite quickly. If you are on a high floor or have difficult to clean windows you might want to consider a monthly window cleaning service where somebody with a big sponge on a pole cleans the windows from street level. You don’t need to be there when they do it, unless they need access to the rear of the building. Don’t forget to warn your guests if you’re doing this as they might get a fright when a big sponge flies into their second floor window!
If you have a shared stairway, make sure that the cleaning list includes checking the stairway for rubbish or damage. We share a weekly cleaning service with all the other flats on our stair where somebody comes in once a week and mops/sweep the stairs, hallway and bannisters and once a month will clean all the brass main door fittings. Even though we have this sometimes the stairway gets dirty in between cleanings and it’s worth checking.
Aside from those things, things like checking the outside of the door - I once had some building work done and didn’t notice a massive black handprint on the outside of the cream front door for two weeks. Turning all the lights on and off to check the bulbs are okay.
That’s all I can think of for now!