I'd recommend that you check out https://leandomainsearch.com for names. Perhaps look at two-word .com names or even look at purchasing industry-specific names with newer domain extensions like builder.io or builder.to then offering these directly to builders etc

I was going to say www.Gunnion.com, but then I got to the part about price. Unless the exchange rate has gone way off, it should cost you about 20 or 30 times that much. But good luck on your bargain hunt! Keep in mind, though: There's nothing else you will pay money for that you will use as often as the name, so maybe it's worth more than 50 pounds.

I would suggest looking at keywords used in your industry, then your customer or client journey. Then a brainstorm of these keywords to see what username/domain would be available. you don't want a domain and different social media profile - I like to use https://namechk.com/ it checks both and I use godaddy.com for simple domain registration.

I'd love to help explain to you how to do this so you can do this over and over again with multiple domain names.

I would try expired domains - the.domain.name is a great site to grab expired domains as they come up every day. It does searches on keywords so can find valuable industries related domains.
Low fees and can get a website created for them - they rebuild the old site so you can redirect the pages to a new designed website.

To create a brandname is a difficult task. But to create a domain name is an easy tax if you have the experience requested to saik in the complex word of Internet address.
A good vendor of Internet domain names is "godaddy". They will offer you dozen of names, but they wii not create an unique solutions.
Please feel free to call me, I am sure that in 3 hours we will find together your effective domain name.
My phone number is +55 11 984922366 Marco Rezende

I recommend namemesh.com.