I don't think it would hurt anyone for you to not tell your parents. Is there a reason you don't want them to know? Maybe they could help? I know I didn't like telling my parents anything when I lived at home, but now I wonder if they would've been supportive, had I talked to them. Who knows?
My stepmother had good results from Paxil. Of course, she sells the stuff to doctors, so, she's probably biased. I'd give it a chance, and if you find you don't like it, let the doctor know, and s/he can help you figure out an alternative.