Social networking sites are good (I'm going by what teachers have told me who are in the illustration/animation business) pretty much any artist websites you can find are good too.
Loathsome - You need to fix the grammar on your website before you direct people to it. Also it's best to write it as if you are not yourself. For instance, instead of
"My name is Conny Nordlund and I'm a conceptual and a illustrator. I like making character baised stuff for film/tv/books/magazines/etc.."
make it
"Conny Nordlund is a conceptual artist and illustrator, his specialty is making character based artwork for film/tv/books/magazines etc."
And you should add a thing about what jobs you have done and for whom. As long as they are a business, it doesn't matter WHAT it is, no matter how small, even your school. It just shows people that you have experience.
I would also like to know about this business thing that boundless mentioned. I think the way it protects you is that if you are a business you can just claim bankruptcy if someone tries to sue you and then you don't have to pay a dime. Just give your companies money to your mum or something lol. Why someone would want to sue an artist I have no idea, but in America, anything is possible.

(I'm assuming you're in America?)