So you have a new website that looks great. But you cannot find it in Google. You need to register the site into the Google directory and Google maps. You want to get the site found in all search engines and you want visitors to find the site via chosen keywords.
We this is basic search engine optimisation. You can have a go at it yourself but if you consider that time is money you should consider paying an SEO professional.
Search engines work in strange ways and only a true professional SEO expert will be able to get the desired results you require.
What about if you offer SEO services, then “birmingham seo services” and “seo services birmingham” is very important and very difficult as SEO companies based Birmingham will all being after the same keyword.
Then you can look at other search results like “best birmingham services” and see what you find.