Here are two steps you should take in preparation for a furniture removalist's arrival.
Remove any carpets you're going to take with you
If there is carpeting in the property that you're planning to take with you, you should remove it, roll it up and put it out of the way in time for the furniture removalist's arrival. If you have any furniture items that are on castors (like chairs or sofas), the furniture removalist might decide to roll them out the door and into their truck, instead of carrying them (particularly if they're heavy), as this will be quicker and safer. It would, for example, reduce the chances of the furniture getting dropped or the removalist injuring their back. They may also use dollies, that comes with castor wheels, to roll out furniture that doesn't have its own wheels.
However, if there are carpets on the floors, the removalist might not be able to do this, as the wheels might get stuck as they try to push the furniture over this surface. As such, if you'd like them to move the furniture quickly and in the safest way possible, you should remove any carpets that you're going to take with you, as it'll be far easier for them to roll the furniture over a smooth, flat surface. Removing the carpets that belong to you before the furniture is taken out of the property will also ensure that these carpets' fibres don't get damaged as a result of, for instance, heavy armchairs on castors being dragged across them.
Tighten up your furniture's components
It's also sensible to ensure all of your furniture's components are tightened and, if necessary, that loose dowels are glued into place to secure them. The furniture removalist may need to carry certain items by gripping specific parts of them. If, for example, they hold onto the edges of table's tabletop and lift it off the floor, but the tabletop is not securely connected to the legs, one or more of these legs may fall off when they do this. This might result in those legs either getting chipped or leaving a mark on the floor that they fall on. Likewise, if the dowels that keep your bookcase's shelves attached to the bookcase's frame are loose, these shelves could fall out whilst the removalist is sliding it onto their truck. This, too, could result in these shelves being damaged.
By using a drill or a screwdriver, along with some wood glue, to make all of your furniture's components as secure as you can, you can stop these hiccups from interrupting the furniture removal work.