Hi Sheila
Welcome to the forum.
You might want to have a look at the following FAQ which explains where everything is;
www.benefitsandwork.co.uk/guides-for-claimants/faq/forum Providing moving next door does not move local authority then it is just a change of circumstances ( change of address) and he will not have to move over to UC.
Remember he will need to notify all relevant departments that he has moved; DWP ESA, Local Authority, DWP PIP, utility companies (make sure he takes a photo of the meters before moving), water company and not to forget Royal mail, redirection of post.
Gary
