Manchester City doesn't like Manchester United where Manchester United is really struggling after Alex Ferguson and Cristiano Ronaldo left them.
There is no need to hesitate when City wants the player they are targeting, as well as Pep Guardiola's replacement if he chooses to leave. This club has very healthy finances, plus management is filled with people who are competent in their respective sectors. I mean, like you said. The Citizen's supporters don't need to worry, because City is always optimal when they want a new manager or player that they are currently targeting. Currently, the names of several young coaches are often linked as potential replacements for Pep Guardiola if he does not extend his tenure at the Etihad. After all, we know very well that Manchester City is a big club and is currently one of the strongest teams in the European League. What is certain is that Pep Guardiola is currently still in charge of City and he will ensure that his team performs optimally next season. although, we haven't heard much new information about any major changes that Pep or the club will make. In other words, City haven't been in the news much in this transfer window regarding the players they are targeting. But still, Manchester City is one of the strongest teams in both the Domestic League and the Champions League.
As for city rivals, namely Manchester United, it is natural that there is competition between these two clubs. Moreover, Manchester United is a club that was previously successful in the era of Sir Alex Ferguson, but currently United is in a condition where they are having difficulty competing with their city rivals. Since Ferguson left, United has been trying to become a top team again until now, even though it is difficult to make it happen.