You can download the standard form from
http://www.hmrc.gov.uk/cnr/dtind_sweden.pdf.
Having completed it take it along to the Cyprus Inland Revenue office along with all the usual information that bureaucrats here require (ask for Mrs Anastacia Lambrou) and it will sent to the UK Inland Revenue. This will register you for taxation in Cyprus and within a month or so, you will be disconnected from the UK taxation scheme and receive a rebate for overpaid tax.
You will have to declare your
estimated income in Cyprus in July and pay whatever tax is owed in three installments before the year end.
In the New Year (which reminds me I should work out my own figures for last year) you will receive a form on which you declare your
actual income, which should be close to what you have estimated.
You are also required to separately declare the interest received on your world wide savings accounts (if you have investments see a financial advisor). You can either do this once (in January) or more times a year and pay the Defence Contribution tax owed on that amount. Don't forget to tell your bank(s) to pay your interest free from tax or you will end up paying two lots of tax. If you delay declaring your interest receipts you will be charged interest on the tax owed.