Janey,
As Oracle says, get a plug in anti mosquito device. I've been bitten on New year's day in Pafos.
You're in an ideal place to explore Cyprus. The Akamas peninsula can be breathtaking. Pack a picnic and make a day of it. Definitely bring your walking boots - lots of trails to follow.
Try to find "off the track" tavernas. The food is generally more authentic, cheaper, and the atmosphere more genuine than the tourist areas.
If visiting Polis find the Prodromi Tavern. Incredible food reasonably priced. Prices in the main square can be quite high (particularly with the exchange rate as it is).
Don't bother with "named" bottles of wine. Cyprus house wines in a caraffe are as good as most bottled wines you get in the UK.
Finally, just go out there and enjoy. Cyprus is a terrific, friendly place.
Richie