Hi bunbun -
I see from your other thread that you're 21 - I wonder if your parents are the right people to support you here? If they struggle with it too they may not know how to support you with this particular thing, and sometimes the dynamic between parents & adult offspring can get weird where their own issues start to come into conflict with yours.
My parents are a bit iffy about the dentist too, I've had a couple of odd moments with my Mum about it (I'm 40! Don't think it ever really wears off...) She can't quite get her head round the way I've got to know my dentist in working through my phobia, and vaguely disapproves. As far as she's concerned I should shut up and do what I'm told, and not 'bother the dentist' with my worries. Meanwhile my Dad hadn't been in many many years until recently, I ended up having a wee chat with him to offer support & encouragement while Mum wasn't looking!
So it's not just you!
Is there a sympathetic friend you could approach for support instead? Maybe they might be willing to come with you? There's no need to worry about what people will think (really!), a good friend would not judge and many people understand what it's like to be afraid of the dentist.
The other thing to remember is that if you find a good dentist, once you get there, you won't be doing it alone - they will support you through it. They will have seen it all before and the good ones know how to help you out if you are struggling with it. The best support I've had when I'm actually there has come from the dentist himself, the nurses and the hygienist.
...and we can't come with you, but you can always find support on here, and plenty of people who will understand!
hugs x
Tink