Bring everything you can with you (not fridges or freezers) in a container! Prices are not so bad for some things its just finding what you need when you first arrive. Having said that many of my Cypriot relatives now visit and purchase stuff like curtains and furniture from Syria! as its much cheaper than anywhere in Europe. Depending upon the type of property your going to live in consider sending an Aga or Rayburn combined lpg gas cooker/heating boiler. Allow about three weeks for the container to arrive in Limassol.
Prepare an accurate inventory of what you have loaded into the container and keep with you at all times. If the container ship is Israeli owned or if it docks in an Israeli port Mossad the Israeli intellegence network will want to know exactly whats in the container and where your grand parents and parents were born. I'm not joking. Be prepared for a late night or early morning call from Mossad and do'nt argue with them as your container will not be loaded, full stop. Ensure that the container ID numbers inside and outside are identical, if they are not do not accept the container for loading in the UK (big scam, and you end up with an empty container). Buy your own top quality padlocks for the container and make sure you are present when the seal is fitted.
Learnt a lot from my first container to Cyprus, the Customs officers told me that they knew I was not a Cypriot because I had not built a suspended wooden floor into the container. Car/van underneath (lashed down & padded) household and personal effects on the floor above. Save the wood flooring as it will always become useful at some point and wood is more expensive here than in the UK
Under no circumstances send a van or car here with tools etc in the vehicle unless it is in a sealed container as the ships stop in various ports and everybody helps themselves to whatever they fancy, including engines gearboxes etc.
As for work, do'nt limit yourself to just ex-pat customers build yourself a Cypriot customer base. Seems to be a shortage of quilified plumbers on the island, where I lived in Larnaca everyone used an 80 year old Armenian plumber because he knew his job and never overcharged. If you are 'Corgi' qualified so much the better as most Cypriots will now admit that Cyprus do'es have a winter and lpg gas central heating is becoming ever more popular as opposed to oil fired or electric heating. Make sure that you understand solar water heating and wood burning stove central heating systems.
Finally and as my Cypriot in-laws have always said to me, 'trust nobody here' and definately do'nt trust your fellow countrymen