Yup, government hospitals will take an insanely long time. Also depends whether they consider your case "medically interesting". That was what i got when i asked around at UMMC. Private practitioners will charge you anything from 3k to 5k++. Depends on the severity of the case and the orthodontist in question. More experienced ones will be able to charge higher, since you're paying for him not to screw up your teeth. Good idea not to skimp on this, since it's going to be for a lifetime