Upfront I would like to mention that I don't live in the UK, but I hope my answer is still relevant.
The most commonly used stove brand in the US is Coleman, and I looked on amazon.co.uk, and it looks like they are common in the UK as well.
For Coleman camping stoves you can buy adapter cables to connect them to large, refillable propane tanks. The common size in the US for those tanks is 5 gallons and you would use this kind of hose (us amazon to 5 gallon tank) to connect a propane camping stove to a refillable tank. Something like this (UK amazon) might be something you need instead.
An alternative approach is a liquid fuel stove (UK amazon). You can refill these with camping gas or regular unleaded gasoline, which makes it a little more versatile. A word of warning: these stoves are a little more involved; you need to manually maintain pressure in the fuel tank by pumping, and you need to prime the stove before you use it (A procedure that is not very difficult and takes about a minute.) I really like liquid fuel stoves, my wife prefers propane. We have both.
Let us know if this worked for you in the UK so we can reword the question and answer so they are not just specific to the UK.