The New Body Gym is located at Athinon Street - Strovolos, above "Mavros" store. Classes run every Tuesday 7:30-9:00, Thursday 7:00-8:30 and Saturday 4:00 pm ownwards.
The instructor is awesome. He has 10 years experience in BJJ and has trained in New York city under the legendary Renzo Gracie. He was also one of Renzo's first 25 students, this says a lot. The guy holds a purple belt, which is considered a very advanced rank in BJJ (not many reach that level). He is not a black belt yet, but a black belt in BJJ is rare and takes a long time to get it (once you start training you'll understand better what I mean).
As far as fees go, I think it's about 25-30 pounds per month for unlimited classes. I suggest you pop in one of these times and have a look at the class, talk to the instructor etc.
See you at the mat !