We've been living in Cyprus now a little over 5yrs. Mid July to end of August are always the hardest months to cope with. The humidity sets in then and it's difficult to get cool without having the a/c on full blast all day... The main reason is electricity is probably the most expensive commodity in Cyprus.
However, holidaying here is quite different. If you have a/c - no doubt it will be on all the time and you will be able to cope ok. Outside by the pool or on the beach, you won't really notice it too much...
Getting out of the shower and getting dry, only to realise you are wet through again is not very pleasant, but hey, it's only a short few weeks for us residents to put up with!
What you may notice though, with the humidity is that you possibly won't get that gorgeous vivid blue sky on your photos. The humidity makes it quite hazy and it's often very difficult to distinguish the difference between the sea and the sky on the horizon. Go up the mountains though, and you will find clear, blue skies.
Be careful with the humidity. It can be tiring at first as it's quite draining until you've had a few days here. If any of your family are asthma sufferers, they may find it affects their breathing at the beginning but it usually improves quite quickly. Also, as long as you remember just because you may not always be able to see that big yellow hot ball behind the haze, the sun is still there and it
will burn - keep the f30 slapped on and you should be fine.
Enjoy!
CwB