The royal family lives in Drottningholm 10 km west of Stockholm, but the king works at the royal palace in central Stockholm, so even his majesty is a regular commuter...

I visited the royal palace last summer, first time in probably 15 years and I was fascinated.
There is basically one room for each king or queen in the palace and if you take a guided tour you get to hear stories about all the weird things the royals did in there 200 years ago.
One king had a public dressing ceremony each morning so the general public could come to the palace and watch when he got dressed etc.

Btw I'm not overly fascinated by the royal family (although I do think they're doing an excellent job), but the people I know who did spend some time as royal guards say it was a highlight they'll never forget, even if was boring as hell just standing there (especially during the winter in freezing temperatures).