Stockholm is very large city, but in general you can walk almost everywhere in the centre of Stockholm to most major sites, the old city, the centre and the nightlife area. Just have good shoes with you, the old streets are made of stones and not easy to walk with a high heels :)
I love discovering cities on foot. Stockholm was the only city I ever travelled to where I did not take any vehicle at all. I walked through the lanes, parks, streels and bridges in the city from morning till dusk. It was an amazing experience. In short I would say Stockholm is very walkable.
In Stockholm, us downtown bikers are happily blessed with a vast net of cycleways. This has made us fast and maybe sometimes a little ignorant of pedestrians. So, please take care out there. Many tourists seem unaware of the separation walking/biking going on in Stockholm. The parts of the road ment for cycling are marked as on the picture, in white or bronze. For your own safety, don´t walk there if you don´t have to. There are always a pedestrians-only part also!
See you around!
Stockholm is made for walking - especially in the old part of town, the Gamla Stan! Walking is easy, because it is basically flat in Stockholm, but the cobble stones in Gamla Stan make it quite tiring. But then there are so many wonderful cafés to relax that it is not that much of a problem!
When I visit smaller cities I tend to prefer to walk around the place. Stockholm is one of those cities when you dont even need to use the public train system. They city is compact enough to walk around, and that way you dont miss as much stuff to see as you do when you are on a tram/train.
I always like to see a city by foot rather than using the underground as much as possible. Of course there are times when you want to go a bit further a bit quicker than you could by foot, or those times when your feet just don't want to go any further, but you see so much more on foot.
Stockholm is a great size for walking around. Particularly Gamla Stan and the surrounding areas, you can walk down the waterfront or the side streets and round every corner find a new view of the city. Some of the views over the city from the cliffs of Sodermalm are also well worth a bit of a walk to see.
The absolut best way to experience Stockholm's many attractions and sights is by foot. You can walk practically everywhere and since it isn't exactly the largest city in the world it doesn't take that long to get from one place to another.
Center of Stockholm is pretty compact, so explore it on foot. Use public transportation only for longer distances, since the cheapest ride is worth 2 coupons (one coupon in single retail cost 8 SEK in April 2003).
However, when you decide to take a bus or subway, you can change buses or trains freely during one hour since the first stamp made (valid for the number of zones stamped).
For my part, I did it by foot only. As the Af Chapman youth hostel is close to downtown city, it is quite easy to wander around and see the principal attractions this way. Pedestrian crossing of the roads is very well done (in fact, this seems to be a city for pedestrians, more than for drivers), with priority lights almost instantly
I could see that many Swedish people go on hiking and the bike roads are very nice in Sweden. If you have time, try to hike once!! We 3 of us went to hiking oneday to the nearest lake of Sollentuna. This is the beautiful fountain at the edge of that lake.