I just wanted to say be careful who you use and make sure they are established, reliable and that you can get a recommendation if possible.
We moved from the north west to London a few years ago and wanted to move on a specific weekend just after new year, so we couldn't get in touch with many of the big firms as they were closed for Christmas (and we were very last minute about it
). We booked a firm who had a website and seemed okay, they quoted £700 for a 2 day move and we got all packed up.
Now, it could have been worse - they could have driven off with all our stuff never to be seen again I suppose - but they damaged a lot of our furniture (our dining room table had been assembled in one room in our old house and stood there for 2 years before we moved so was immaculate, but on delivery to the new place it looked like it had been hacked at with a hammer, it was just awful). When we contacted them to complain they threatened us, basically saying don't complain again or else, remember we know where you live!!! 
It was all very stressful, so do take care who you book.
On another note, we used Pickfords when we relocated back to the north west and they were really good, only cost about £100 more than using the dodgy company and they supplied all the boxes and packing paper and tape etc. They will give you a silly quote and then encourage you to haggle (which is bizarre) then knock a load off for you.