Does anyone know where I could learn to cut and polish stones?
You don't say whether you mean cabochons or faceted, but either way,
among the most economical-- and fun-- places are Wild Acres or
William Holland. I've actually only been to the former, where I took
beginning faceting. Both places offer 1-week courses in beautiful
summer-camp-for-adults type settings, with volunteer instructors so
it is very cheap. I was at Wild Acres during hurricane Ivan...