It's important to get your finances in order well before you move to Cyprus. Obtain tax and pensions advice, both in your home country and in Cyprus and open a bank account as soon as you can to smooth any required transactions. When making your calculations, take into account the varying exchange rates which can make a big difference, especially if you are importing funds to buy property or a business.
The laws with regard to finance differ quite considerably in the Republic of Cyprus and the Turkish Republic of Northern Cyprus (TRNC). This is because the Republic of Cyprus is now a full EU member and has come into line with EU regulations. The TRNC is not an EU member, so check carefully about regulations before you commit yourself.