Can highly recommend John Mighall
if you want someone else to do it. Obviously it will cost a bit more, but they are extremely fast, very professional and they do of course carry liability insurance etc, should anything get broken. They provided me all the boxes and materials within the package and plenty of advice to help things run smoothly.
I had them in to move my belongings into my new place back in March, and could not fault them, fantastic, and the entire move was done within 2 hours! And I didnt have to lift a finger (though I did give them a hand as I wanted to).
They were extra specially careful with my massive fish tank, and did not get a scratch on anything. Also, they had to move my stuff down a flight of stairs into the lift on the odds floor as the lift on my floor was off, and up to the second floor in my new place. Throughout they were happy and polite, not a single pffft in sight, despite the fact I was on the 8th floor in my old place, so certainly people who enjoy their jobs (which is precisely what you want to see when your trusting them move thousands of pounds worth of stuff).