Chances are the systems and processes have a history and have good reasons for being in place. If there are major areas you could change right away, you'll still look like a more thoughtful manager if you ask for advice and get input from others, then propose a change in a reasonable timeframe. Employees respect a manager who tells them what they did wrong without laying blame you'll go far with your employees if you admit a mistake you made before you talk to them about mistakes they've made. Employees also look for a leader who knows when to pass on important company information, when to go to the next level with a concern, and when to crack down on the rumor mill. Remember, your job is to facilitate the work of your employees.
Communication is the best way to do that.