The benchmark 8-yard builders skip averages £331, but the postcode lottery is real: from £183 to £517 across the UK. General week-hire runs £125 to £320 depending on size and location, plus a council permit when it sits on the road.

A bathroom strip-out fills one 6 to 8-yard skip; a kitchen usually one 8-yard; a full house renovation eats several. Ask your builder whether skips are inside the quote; unpriced waste is a classic budget leak.
On your own drive, no. On the road, yes: a council skip permit, usually arranged by the skip company for a fee, and some streets need lights and cones. Permit prices vary by council.
Tipping and processing costs differ per region, and distance to the nearest waste facility drives the haulage. That is why the same skip costs nearly three times as much in Cornwall as in Swansea.