You will need transport to take you to the start of each day's walking and again to collect you at the finish point each day. You can use the Wiltshire Connect on-demand bus service for this. With lots of pick up/drop off points across the Vale of Pewsey, it makes getting to the start/from the end of a walk much easier.
You may also need your luggage transferring between accommodation if you choose to do a multi-centre holiday.
These are all local taxi companies who do this type of work.