How much will the lessons cost me?

A lot! Do the math and you will know:
 
Fee per lesson x number of times per week x 50 weeks, x 10 years !
 
Considering the fact the amount of money, time and energy you will be spending on your child’s education, it is important not to save money by hiring a cheap teacher; bad teacher by far outnumber the good ones, and getting a mediocre one in order to save money will only make you and your child suffer permanently. More expensive teachers are not necessarily better, but this is a whole different subject on its own.