The Lee Valley Ice Centre has a regular skate sharpening service provided by EdgeWise available from the first hatch window in the skate hire area. A while-you-wait service is available every Thursday evening between 6pm and 9pm and Saturday morning from 9am to 12 noon.
If you cannot be there at that time, Andy is about most days and will happily sharpen your skates at other times too.
Discount
Members of the LVLSC receive a permanent discount from the regular sharpening price so make sure you say which team you’re in when you give your skates in to benefit from this saving.