Good luck with the move! I moved to Berlin from the US just over a year ago, and I've absolutely loved it here so far. Such a great place to explore on foot too. Especially when I first arrived, one of my favorite things to do was just pick a district and wander for a while. I discovered many of my now-favorite places that way.

It is indeed rather spread out though, so I definitely recommend supplementing your transport possibilities with a bike. =)