It doesn't cost anything. copyright protection, just as in the US is automatic.
According to the UK Intellectual Property Office...
"There is no official registration system for copyright in the United Kingdom (UK) and most other parts of the world. There are no forms to fill in and no fees to pay to get copyright protection."
(see related link for the full text)
The current fee is 200P. Bear in mind, however, that registration is not required for protection.
Business names cannot be protected by copyright, but you can register it as a trademark for $375 on paper, $275 electronically.
Your country's copyright office.
It depends on the lawyer. Most copyright lawyers will charge around $300 to register a copyright, but the fee can also go up depending on what exactly you need the lawyer to do.
Copyright registration (online, fax, or snail mail) information & fee charts are available at the US Copyright Office homepage.
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Copyright protection exists from the moment a work of sufficient originality is completed. It is not necessary to formally register a work in order to use the © symbol.
It is important to know the specifics of a company before finding out how much it will cost to register it in the UK. One can refer to Companies House to find out the specifics of the registration process. It will likely cost between 20 to 30 pounds to register a company.
Copyright is free, instantaneous and automatic for your creative works of authorship, at least in the USA and over 160 countries in the Berne Union. You may optionally register your ownership in the US Copyright Office for $35.
Registration is not required for protection. If you wish to register anyway, you may do so through Access Copyright at the link below.
The current UK copyright law is the Copyright Designs and Patents Act 1988, as amended.