You can create your own dedicated version(s) of the Google search engine.
Start by logging into your Google account.
Then go here:
https://programmablesearchengine.google.com/controlpanel/create
Enter a name of your choice for your personalised search engine (e.g. 'UK-Search')
Select 'Search the entire web'. (Yes, I know that's not what you're wanting to do but the customisation is yet to come. See below).
Tick 'I'm not a robot'.
Click 'Create'.
Click 'Preview' to open your new search engine in a new tab.
It won't work properly yet, as you've not customised it. However you can then BOOKMARK THE PAGE, so that you can access it at any time in the future.
Go back to the previous tab and click 'Customise'.
Change 'All regions' to 'United Kingdom'.
Change 'All languages' to 'English'.
Your bookmarked page will then provide you with a 'UK only' search engine for you to use at any time.