To transfer your .uk domain name you will have to contact your current domain name registrar and inform then that you would like to transfer your domain name to Dedicated-Domains.

You will need to provide them with the following information:

IPSTAG - CTECK

What happens if my current registrar will not transfer my domain name?
If your ISP refuses to release the Domain Name(s) to your new ISP, you should contact the Nominet Customer Support Department at www.nic.uk

On transfer of the domain name to Dedicated-Domains, you will be issued with your own control panel where you can enjoy all the features that we offer our customers. You will receive full transfer information in an email when you apply to transfer your domain name to Dedicated-Domains