Moving WordPress root domain to WWW

So I’ve read over https://codex.wordpress.org/Moving_WordPress

But it doesn’t seem to cover sub domains at all.

(And is incorrect at times. I just moved WordPress from a directory to root folder, and the docs say to move all files and then login. Go to settings-general… but you can’t log in once you move files. You get 500 internal server error.

What you have to do is change the settings first and then move files. Which I managed to do without too many issues, some images needed re-uploading but that’s about it.)

But now I realise I need to include WWW subdomain as most of the links pointing to the site include WWW. So for search engine purposes this would be ideal.

Any ideas?