How UK local search works
Your local SEO is built around your town, not mine.
Whether you are in Manchester, Birmingham, Leeds or Bristol, local rankings depend on your business: a complete Google Business Profile, the same name, address and phone number everywhere online, genuine reviews, and service or location pages that describe the towns and postcodes you really cover. None of that requires me to be in the UK. It requires accurate local facts from you, and careful work on the data.
UK customers also check more than Google. It is worth keeping your details consistent on Apple Business Connect, Bing Places and Yell, making sure your trading name matches your Companies House record where relevant, and collecting reviews on the platform your customers trust, whether that is Google, Trustpilot or Checkatrade.