Waqas' suggestion is a good place to start. As he says there are 2 fuel hoses that lead from the tank. One to take fuel to the pump and one that brings the return from the engine back to the tank.
I replaced both of my hoses last summer as they were ancient and crumbling. It's a pretty easy job to do, but can get messy as you will need to remove the ends of the hose from the fuel tank which will result in split fuel. (On the advice of another on the site) I plugged the hoses with golf tees and that works really well. The only problem I had was that I cut to cut off the clips (use a junior hacksaw with grease on the blade gingerly, not a dremel) that secured the pipes because the old clips (like the pipes they held) were just thoroughly corroded and shot. So, whilst the job is a bit messy, it's very straight forward although I was working in a pit under the car, which made it easier. If you don't want to run the risk of fuel running down your arm, and back, then get someone else to do it. Any garage will be able to do the job for you; it doesn't need an expensive classic car place at all. Assuming that's the problem. But it will be pretty easy to verify. Getting to the garage might be a problem, of course.
And as well as a fire extinguisher for fuel fires, you will also need some spill sorb to soak up the fuel (or saw dust will do). Let us know how you get on.
James
(London)