Cesc Andzia. Jak Sie masz? I'm afraid thats about as far as my Polish goes. Anyhow, do you have a town in mind of where you would like to stay?
There's an agency called Stalagmite who alot of Polish people use.
http://www.jobincyprus.com/english/
Another idea is to go to your local travel agency, pick up a brochure for Cyprus, then have a look at the hotels in that brochure. Give the hotel a call and see if they have anything going for you. By doing that, you know you are applying to a hotel where Polish people go, so you can still speak your mother language to some of the guests which should help you settle in a little bit more
Good luck.
Na Ra
Translation is "hello, how are you?" and Na Ra means "good bye"