I'm a AAA+++ personality, so I have a terrible propensity to want to micromanage. That attention to everything is greatly appreciated when you're lower in the ladder at the companies I've worked at. When I got promoted to my first manager's role, however, it drove my team nuts. One of the best things that happened to me was when one of the team invited me to lunch and said, "Look, we've been here a long time and we know how to get this job done. Our job is to make you look good. You're making it really hard for us to do that for two reasons - 1) You act like you don't trust us and that makes us not trust you, and 2) Who really wants to work for someone who just keeps nitpicking everything you do as not quite what it oughta be?"
I'm not sure I'd quite recommend that approach in every situation, because some people just DON'T take feedback well. I was glad to have it though, because it gave me a chance to learn a better way to do things.
Now, when I get someone new on my team, I make it a point in their first day of work to sit down in a more casual setting and just chat for a couple of hours about how they work best, what kind of management style they respond to, what kind of hobbies they have (lots of neat info comes from this about a person's work-style), and other topics that I use to figure out their work-styles. Then I fill them in - I can totally be THE micro-manager, but I don't want to. It's not because I don't trust you, but part of my job is to have your back and make sure you're learning and doing what you need to do to advance in your career. If I don't know and understand what you're working on, then it's really difficult for me to fulfill my obligations to you. So - we gotta work together. If I start getting too micro-manager-ish, I expect you to tell me about it. If I screw up, then come talk to me. I can't fix what I can't see and I don't want to be the reason that you don't like coming to work.
It's worked pretty well for me. I usually have people lined up to work in my department and my employees recruit on the team's behalf, which makes it much easier to fill headcount when we need to do that.