house prices differ rom place to place and suburb to suburb.it depends what u want,if you are looking for something old and traditional look at agios dometios or nicosia municipalities.engomi is very expensive but has a lot of new houses.lakatamia ,latsia and aglantzia are not cheap either.
all these suburbs are in nicosia,i dont know about other cities.
u can use the cyprus net portal to find about specific companies.