Starting in Buriton the 7 day schedule will involve walking about 12 miles per day until you get to Steyning, there are then two short days of about 9 miles each into Pyecombe and onto Lewes. It is then 14 miles to Alfriston and a further 12 into Eastbourne on your last day. If you wanted a rest day, then Steyning or indeed Lewes are perfect for this, the latter in Lewes gives access to the county town and Rodmell for fans of Virginia Wolff.
Buriton to Cocking/Midhurst 12 miles
Cocking to Amberley 11 miles
Amberley to Steyning 10 miles
Steyning to Pyecombe 9 miles
Pyecombe to Lewes 9 miles
Lewes to Alfriston 14 miles
Alfriston to Eastbourne 12 miles