What usually shifts the price locally
In Eastleigh, quotes move when the crew loses time between the property and the van. Short-stay bays, resident controls and busier town-centre kerbs near the rail corridor and flats with managed access, newer estates with allocated bays and longer walks from overflow parking usually matter more than the mileage on a local run.
How to keep the quote realistic
Flag stairs, shared doors, lifts, awkward furniture and the real stopping point before booking. That lets the price reflect the actual labour rhythm instead of a best-case version of the route.