cruiseshuttle or taxi copenhagen airport

[Saman]

I see there is a cruiseshuttle that runs when cruiseboats dock that goes to centre and then direct to airport , on their website there is currently no price but i have read it is about 30euros each (there are 3 of us) , from info i have found a taxi should be about 70 euros if this is the case we would be just better getting the taxi, if anyone has any info on these 2 options it would be appreciated , i know we can also get a bus to centre and then train but really think at the end of cruise will prefer easier options as taxi price to me seems quite reasonable unless theres a catch somewhere.

TIA