When you are doing short term rentals you should always check government regulations before you set up to see if there are any restrictions or licensing required, or whether there are any plans in place for STR regulations. So to me the obvious place to start would be to check with is the Cypriot government website. @Brian-And-Christine0
You haven't said whether you are on the Greek or Turkish side so the website for whichever government your property is based in.