Local search works differently from general search. When someone looks for a plumber or a bakery, the results lean heavily on how close you are and how well your business information is presented.
Claim and complete your Google Business Profile first, with the same name, address and phone number as your website. Then make sure each service you offer has its own page that says clearly what you do and where you do it.
Reviews matter too. Ask happy customers to leave one, reply to the ones you receive, and keep your opening hours up to date. None of this is complicated, but it needs to be done consistently.