Usually these are things that are specific to a company culture, if everyone there does daily stand-ups do daily stand-ups. Same for the focus, try to get a feel from your boss about what the company is focusing on and try to emphasize that at the meetings. In general, if you don't have a passion or good reason for believing in a different method, it is better to follow the practices they are most used to. Make friends with someone else at your level and ask their advice.
> What are the things I should focus on to show I'm ready for managing managers?
At some level it stops being about the managing(who is working on what) and more about trying to give people the resources to maximize their value. Managing managers isn't really considered by most to be managing like it is for low level workers. It is about giving people the opportunity to improve the company and setting direction. It is also about saying no to the right things.