Question Getting a Taxi from KEF to Blue Lagoon

Our flight arrives at 8:55 am, and I made an 11:00 am reservation for the Blue Lagoon. Is it easy to get a taxi from Keflavik Airport to the Blue Lagoon? I’m a bit worried about timing, especially with customs and getting through the airport. Is there a reliable taxi service, or should I consider other transport options? Any advice would be appreciated!