Permits in Wokingham borough
Wokingham Borough Council issues skip permits across a wider area than many people expect. Earley and Woodley have Reading postcodes but are in Wokingham borough, as are Winnersh and Twyford, so a skip on the road there needs a Wokingham permit, not a Reading one. The skip company applies for the permit for you; ask whether the cost is included. See the skip permit guide.
Choosing a size
Much of the borough is suburban housing with driveways, which avoids a permit altogether and makes a larger skip practical for a clearance or renovation. For heavy waste like soil or rubble, most suppliers limit you to a smaller skip, often 6 yards or less, because weight rather than volume is the limit. The size guide works it out from what you are clearing.