Taxi situation in Stockholm

To those who have disembarked in Stockholm... Can you tell me what the taxi situation is when there are several ships in port on the same morning? We will need to get to the airport by 10:30am and we've had some really long taxi lines in Vancouver and other ports in the past. Does Stockholm have a pretty good handle on the taxi line or should we book a private car? Thanks...

We disembarked at 8:00 am from the Serenade of the Seas this morning and there were maybe about 100 people in the cab line.

I was glad we pre-booked with Taxi Stockholm and our driver was waiting at the front of the taxi line with a sign. We did not have to wait in the line.

I booked online and then confirmed via email that the details were correct. They were a pleasure to deal with.