To take a tourist bus to see Stockholm is very expensive. I don’t know if it is worth it, you do get the guiding through headphones or a real life guide and the bus will take you to the most interesting places in the city. But there are other options.
One of the most fun things I like to do when I visit a new city is taking the local bus to wherever it is that I’m going. It’s cheaper than the tourist bus and you usually get to see a lot of the most see-worthy things in the city you visit.
The easiest way to see the city of Stockholm is taking the blue buses, no 1, 2, 3 or 4. They cover most of the city centre and you can use your sl-card on all the buses. A Stockholm guide is not included, but if you’re not too shy you can always ask one of the local passengers if you see something interesting.
During peak hours the buses run about every five minutes and if one comes that is too crowded you just wait for the next one.
Number 1 runs from Stora Essingen to Frihamnen and covers Kungsholmen through City and Östermalm. Number 2 runs from Sofia on Södermalm to Norrtull via Norrmalm and Vasastan. Number 3 takes you from Södersjukhuset to Karolinska sjukhuset via Kungsholmen. Number 4 will take you on a trip from Gullmarsplan to Radiohuset and show you parts of Södermalm, Kungsholmen and Vasastan.