Vasastaden - nice area for a wander around in. Lots of nice old buildings, nice little independent shops and good for going out. Observatorielunden above the Stockholm City Library is a nice park with great views.
A nice walk is to start at Karlbergs Station, or the St Eriksplan tube stop nearby, and head down to the water, and follow Norr Mälarstrand along the north side of the Riddarfjärden canal. You'll pass through a park called Rålambshovsparken and eventually end up at the City Hall (with its three golden crowns), where the Nobel Prize dinner and ceremony takes place every December. Climb up it if you want, or head off to Gamla Stan for more.
Good places for going out around here are Tranan on Karlbergsvägen (just by Odenplan tube) which is a good hang-out place. Nice food and good music during the day, and a great bar at night.
Storstad on Odengatan (also Odenplan tube) is also a good bar, with good food for lunch and dinner. La Habana on Sveavägen (Odenplan/Rådmansgatan tube) is excellent for mojitos and all things Cuban and is a pretty good place to spend an evening. Paladar de Cuba is another cool Caribbean offering closeby, on Tegnergatan (also Rådmansgatan tube).
St Eriksplan/Odenplan tube
Send your feedback or queries to been.there@guardian.co.uk
Search Been there