You really need to do this to rule out problems your side, until you do this, it will be hard to press the water company to resolve it, as you are not 100% sure the problem is theirs...
Do do you have a main stop tap inside your house that turns everything off? If so, it is reasonably easy to turn this off, disconnect the output pipe from this (the one that connects to the rest of your plumbing in the house, usually out the top) and then connect a hose to this to see if you still get crap from this point.
if it is a 15mm pipe, then a 1/2" hoselock type tap connector should just screw on the top, if it is 22mm then it is usually 3/4" (In this link, you will need to use the supplied white adaptor ring for a 15mm c*ck, and remove the ring for a 22mm c*ck)
When you disconnect your house plumbing, you will get water draining, so if you turn off your water first, then turn on the lowest tap, then flush the toilet to activate the ball valve in the loft tank, then open any other mains water taps you have, this should drain most of it first, but there may still be several litres of water in there, so have a bucket ready. (You can easily stop the flow with your finger, as it will not be under mains pressure any more)
Toby...