I can't say for any one else and I know that it depends greatly on area and the team that you get on the day but we decided after several quotes to go with allied pickfords and to get our own 20ft sole use container even though we only filled 75% of it. The reasons for this were several and long and I won't bore you with all of them.
The main reasons were -
1. price - they came up cheaper than any of the others. [well fingers crossed, having read some other threads we will report back on that one]
2. the gentleman who came to do the quote was really helpful, he was prepared to spend the time answering all the questions we had [we got those from another thread on here] and was really friendly unlike some of the others.
3. They were easy to contact as the process went on both by email and phone and they put your mind at rest really easily.[which they answered quickly]
On the day they turned up on time, were professional and seemed to pack both the boxes and container really well. They even went into the container to check it had no holes and was clean etc.
So overall, so far, we are really happy, they were helpful, polite and didn't cost us the Earth.
Hope this helps, any other more specific questions and we will be happy to answer them.