This depends on the doctor's skill. I had my wisdom tooth extracted at ipoh GH (Hosp Raja Permaisuri Bainun) by Dr Mukhriz. Very professional and attentive. He explained what he will be doing before he started. Overall, it was a pain free experience. Even after the anaesthesia wore off, the soreness was bearable. I very highly recommend him if you're in Ipoh.

Btw, he's a high rank doctor in that department so need to make appointment in advance.

Since your parents have said that money is not an issue, you have the option to look for a skilled and reliable dentist. Go through this thread and you'll find there are even some dubious private dentists. So, choose carefully~~