If you want the cheapest quote that man and the van can be thought of organize a day of the week in the movement. Weekends are always busy man and vans, so if you choose the day of the week, so they are less busy that your offer is lower than the day of the weekend.
Before going into the details of a free man and the prices go up, make sure you have a look around, because you want to move. Try to write a realistic number of cases and the volume of furniture - not to forget things in the attic of parts and pieces of garden and building a bike in the garage!
The overestimation may mean that you hire a man with a van that is too large and underestimate it could mean that you cannot take more or less get the right means you will pay the lowest price possible for the amount you need to move.