Lawful Neutral king and court. Very old-fashioned fantasy kingdom, a bit similar to late Portuguese or Spanish kingdoms (no colonialization periods).
The city has 12,100 inhabitants. Mostly in total chaos due to a powerful curse that has torn it apart for years.
The PCs are adventurers, nothing grandeur about them except they have saved the city of total destruction. Being an adventurer is a low position, even though very well paid.
The fact that the king agrees to see the PCs is unusual, but it pleases him to see the heroes, so it is done. They have the opportunity to have a word with the king and make some reasonable request.
If you have the time, it might be interesting to have the players introduced to the king for their great deeds, the king nods to them, then instructs Baron X to "Speak for the throne to those who have given us a great service." Then the king moves on to other matters.
Thus the king acknowledges the strengths and prowess of the characters, but is still insulated from the 'low position adventures' by a layer of nobility and the weight of protocol. This is a way to introduce other members of the court as either allies or enemies... if you have time to set up a 'playing the long game' kind of thing.
As the players do more things --get more famous, more recognized-- they move up the noble ranks --first a baron, then a marquis, then an earl, then a duke-- till they are allowed to interact with the king himself. If they make powerful enemies, they might be required to interact with a lower ranked noble again, until they 'defeat' their enemy in court. It could be an easy way to track their social advancement.
Something to remember about whether or not nobles are skilled/wastes of space: you may have gotten in on the power of your name, but politics is a cut-throat business. A noble at the Royal Court has been dealing with dirty tricks, backhanded insults, plots from family members, and outright power grabs for most of their lives.
Nepotism may have got them a job they're unsuited for, but it's also possible they're in that job because they're the survivor of all those who wanted the job... and failed. Fops have their place, but "When you play the game of thrones, you either win or you die."