Re There are NO reputable private "schools"

There are NO reputable private schools anywhere - neither in Euiope nor in Asia nor anywhere else.
Education is no commercial commodity that you can sell like apples and cars. Plain and simple. Period.

I know I know. If you're a deprived kiddywink from the back streets of Windsor your parents in an effort to teach you a lesson in life might sling you unceremoniously into fee-paying Eton or Harrow. Upon completing your education you'll be obliged to hose down the urinals for a living. You'll never make an FT, that's for sure- your English just wouldn't have evolved enough.