Nuremberg is a good base, Susan - I spent 4 nights there in May of last year and took day trips to Bamberg and Regensburg, which were both worth it. Nuremberg has a lot of history - I got to explore the Nazi Documentation Center and Courtroom 600. The Aldstadt is also quite beautiful with several good museums (including a charming toy museum that I almost passed up but wound up loving).
Bamberg is a charming and lovely town, with a beautiful cathedral and a frescoed Town Hall that is very interesting. It's a wonderful place to just walk around in and absorb the atmosphere.
I also loved Regensburg - the cathedral was wonderful, and there are a lot of interesting things to do there. It's bigger than Bamberg, but just as beautiful imo.
Rothenburg ob der Tauber will get mixed reactions here. It's not completely authentic - much of it was built up after the war - but it is a quintessential German village with the half-timbered houses, and definitely fits the "cute" factor. If you like sculpture, the church houses two incredible wooden sculptures by renowned artist Tilman Riemenschneider. Personally, I loved the town - I was there in 2010 for two days and found it incredibly charming and fun to visit.
Würzburg is another nearby place that gets a lot of visitors because of its beauty. I did not get there because of the time factor but hope to go on my next trip to Germany. And there are many other places that are accessible nearby that you might want to visit.
The advantage to having Nuremberg as a base is that it makes it easier to reach the smaller towns and villages that lie (somewhat) in a spoke around it. The train station is directly across the street from the Aldstadt (and many hotels) making it easy access for day trips.
I write an online travel journal, which you are welcome to look at - the days in question would be Days 6 through 10. There are a number of photos there that might be helpful. It is hard to narrow it down, though. I made my decisions after watching a number of videos on the cities I was interested in. https://mostlytraveled.wordpress.com/2022/05/02/day-6-nuremberg-bound/