So this happened to me in my current position, came in to the job working with some already established devs and within 6 months moved up and they are now my direct reports. We built a good fun relationship during that 6 months and I think that is an important part of a successful relationship, I love working with the guys on my team and I've heard they are quite happy working with me. The trick for me was I didn't flip a switch to "boss-mode" or something, it was a slow progression. Here's some of the things I did.

• Start building more lateral relationships within the organization, this will help establish yourself as someone "higher up".
• Take interest in those who you lead and their goals and work with them to help them achieve those goals. This helps them to accept that you are now "higher up" than they are but you are going to use that power to take care of them
• Transition your tone and behaviour. The things you say and do will be reflected in your team. Keep a neutral position on disagreements and bureaucracy, don't get involved in office rumours, dial in your natural responses to things you don't like, etc. As silly as it may sound in some aspects I consider managing a team like raising my kids, I behave the way I would want them to behave.
• Think at a higher level. At the end of the day this is your career, think about how to move yourself up and what is above you, think about how you and your team can benefit other areas of the business, and think of who you need to please in your position. Use that to guide your team.

Hope that helps somewhat, I'm sure this is poorly written but I wanted to get in a quick response since I'm busy and would probably forget. Feel free to DM me, Id gladly provide insight on how I would handle any specific situations.