I stopped eating animals when I was 13 (I'm 30 now), and
that was a little tough on my parents, worried
them a bit. Now my parents eat vegetarian 95 percent of the
time (no it doesn't have to take 17 years!). I'll
just tell you what worked for me and what didn't.
At first I think my parents were worried about me
being healthy, and then they were worried I would want
them to change. The health part made me very interested in nutrition so I read (and still do) everything I could get my hands on about nutrition. (The Physicans Committee for Responsible Medicine has a great website for vegetarian health facts.)
As far as wanting my parents to change to a vegetarian
diet...of course I did! But things did not work
out when I was pushing things on them, or telling them
how disgusting meat is, or how animals are treated,
etc. It especially upset them while they were
eating. I grew to understand this and respect it.
The less I was out to change them and the more I was
at peace with being veg myself the more interested
they were in being veg. I highly recommend
Gail Davis' book Living Among Meat Eaters.
You can still be respectful of your parents and make your own choices. If it is a hard thing for your parents to discuss,
maybe you could give them some literature or a book on
vegetarianism that they can read on their own. The
more information you have about the aspects of
vegetarianism that made you change your own eating
habits the more understanding they should be.
Something else that makes it tough for a non-veg
parent of a vegetarian is cooking. They may not know
what to cook for you, and that is a little frustrating
and scary. Find some veg cookbooks at your library
and bring them home and help out with the cooking.
I've found even the most adamant meat-eaters melt over
a fun cooking session together.