I went to DVLA in Wimbledon.
Their website said that they open at 9:00. Lies. On the second Wednesday of every month they open 9:30. Other than that it went smoothly.
Fill out form D1 (a general form for all sorts of "give me a license to drive a regular car, please"), hand it and the Swedish license to the man behind the counter and wait for them to verify your passport as ID. Alternatively you can have them send the passport back in the post when they're done with it, but as that was my last form of ID I opted to wait.
All in all I'd say it took about 20 minutes, including filling in the form and queuing.
Things to bring:
- Old license (they will take this)
- Passport (you'll get it back or they'll mail it back)
- Proof of address (they didn't ask me for this, but would be stupid to not bring)
- A photo suitable for the drivers license.
- D1 form (they have forms there, so you don't really need to bring it)
- A pen. All the pens next to the forms were just gone.
DVLA has an interactive guide that's actually helpful.
