Looking for a good base location for family trip in August.
Define "good".
There are many possible options. It's hard to come up with suggestions without knowing a bit more about your trip.
Yes, more information needed.
How long? Will you have a car or rely on public transportation? How many and ages????
What are you hoping to experience?
And what's your budget ?
"Base location" sounds as if you may want to spend all your nights in one place. I wouldn't plan to do that. Norway's geography is challenging; it doesn't lend itself to a hub-and-spoke trip.