Yep - Can help you there as well!. Blue Bay Taverna, Pernera. Looks like a shack when you approach it and all plastic tables and chairs, but the food is good Cypriot fare and you'll be looking out over a quiet bay.
We found it last October, but it still hadn't opened in May this year. Pretty sure it will be open now.
To find it - From the main Pernera road, head down the side road with Sizzlers Restaurant on it (towards pernera Beach Hotel), keep walking and you'll come to a curve in the road. The taverna is on your right.
There's a posher one more or less next door to it, but I have a feeling you'll prefer the Blue Bay.