Check if your ideal company name is available to register. If another company has registered the same name, you will have to choose a different one. For more information about rules and restrictions, read Naming your business. Check the Trade Marks Register of the UK Intellectual Property Office to make sure your chosen name is not the same as an existing trade mark. Ask a lawyer if you are unsure about this.
For more information on naming your business, read How to choose a name for your business.