Check out the raising of Chicago (https://en.wikipedia.org/wiki/Raising_of_Chicago). From buildings up to entire city blocks were raised, moved on rollers, or both, usually while businesses and residents stayed in them for normal day-to-day life.
In five days the entire assembly was elevated 4 feet 8 inches
At a constant rate that's approximately 1.3 tenths (3.3um) per second, definitely far below the threshold for people noticing.
Chicago also reversed the flow of the Chicago River.
https://en.wikipedia.org/wiki/Chicago_River#Reversing_the_fl...
They also rebuilt much of the city because it was wiped out during the Great Chicago Fire of 1871, and now the grid system is one of the most commonsensical ones in any major American city.
Chicago is an example of a (more or less) clean-slate engineered large city -- one that arose as a result of tragedy (fire) and failure (cholera).