Hi and thanks for the query.
The general cost of removal of kidney stones privately in the UK, is from £2000 to £3000, depending on which procedure is adopted and what the surgeon agrees on. The percutaneous nephrolithotomy procedure is more expensive around £ 5500.
Since, it is private treatment, you can negotiate and discuss the total cost of the procedure with your Surgeon, but this is the range. Hope this helps. Please do leave a positive rating for the service. Best wishes.