You can still use your UK license till 21 July after that you have to have a Cypriot one or an International one
the problem is:-
Since 1 February 2019, motorists can only get a permit by personally visiting one of the 2,500 post offices that will offer the service. The Department of Transport will then issue the permit via the post office.
Prior to 1 February, you could get an IDP by mail order from the AA and the RAC, and from 89 post offices in person.
To complete the order you have to be over 18 years old and have the following with you:
Your full UK driving licence - photo card or older paper version licence
A passport-sized photo
Your passport if you're presenting an older paper version license
£5.50 application fee.
https://www.which.co.uk/reviews/new-and ... ing-permit