Most would take Us$, however I NEVER take cabs out of the airport, have a book of bad experiences with them. Go with Tienda Leon, they are by fr the best option and I use them 100% of the time.
Basically you got a few options, there is a bus that leaves every hour and take you to their downtown stop (in Avda Madero right next to the Sheraton) from where you can take a regular cab or a Tienda Leon Shuttle.
Then there is the Shuttle that takes you directly to your home/hotel.
In both cases vehicles are air conditioned, new & super comfy. The bus option is great for those of you on a budget and I like to take a nap on it on my way downtown (bus seats are much better than ordinary airliners). If you are a but tight on schedule their shuttles are great.
Again, sorry, but I just go ripped off way to many time by "official" and non "official" Taxis down here. Not going that way never again.