Try the UKWDA at click here - note, I am not recommending either the UKWDA or its membership, but they are a reasonable place to start searching for web designers in your area.
Have a look through your local Yellow Pages too.
Ask anyone you know in business if they are happy with their designer - if they are get contact details.
Contact your local branch of Business Link click here - they can put you in touch with people in your area who can advise on and offer web development services.
Ask in this forum if you have any specific questions or difficulties and I wish you every success with it.