If you require a Taxi whether for the airport or local then call:-
George's Taxi Service Mobile: +35799450863
You can also contact him through his Facebook page. Click here.
Alternatively you may wish download the "Bolt" app to your mobile. Bolt operate in over 45 countries throughout the world. Click here.
Bus Services for the Local Area. Click here.
Should you wish to hire a car there are many located at Larnaca Airport or more locally at Ayia Napa. A Google Search will give you the information you need.