A small removal has one job to protect: everything goes in one Luton load. What fits is settled and generous: a room, a studio or a small 1-bed. In practice that is a bed and mattress, a wardrobe or chest of drawers, a desk and chair, a small sofa or armchair, a television and stand, kitchen basics, and around ten to twenty boxes and bags packed around the furniture. Loaded in order, that is one full, tidy load with room to strap everything properly.
The second load is what quietly makes small moves expensive. It doubles the driving, repeats the carrying at both ends, and almost never fits inside the time the move was quoted at. It is rarely caused by volume alone: it is caused by the extra chest nobody mentioned, the boxes that turned out to be thirty rather than twelve, or a load packed in the wrong order so the van cubes out with air in it.
So the discipline is simple and it starts with your list. Everything is named before the day, the biggest pieces are measured, and the load is planned in delivery order: what the new place needs first goes on last. If your list genuinely will not fit one load, you will be told from the list, with the honest crew, time and total in writing, not at the door with the van already full.