Open Question: How Would I go About Getting my own Insurance?

I'll be 17 in a few months and have not seen my doctor in three years and my dentist in six. My mother refuses to take me because we lost our insurance when I was 13.[Regardless she goes to the doctor three times a year and the dentist just because her tooth is sore or needs a cleaning, etc. And my father goes every three months to both Dr. and dentist and my brother goes to al kinds of