Artist, here. I used to animate for TV (mostly 3d VFX stuff for the Discovery Channel and similar) and currently a freelance illustrator. There's really no better advice than "do it". If you don't have passion, curiosity, and willingness to take crits, it'll be hard to get good. But, there's nothing stopping you from just trying anything even if you're going to suck the first dozen times you do it.
If you think you'd like drawing, hang out on art specific forums like cgtalk or apedogs. If you're into 3d, there are lots of forums specific to every program you could want to do 3d with. Watch lots of youtube tutorials. Torrent a bunch of programs and poke at them. When you find a medium or program you think you could grow to love, dive into it seriously. Figure out its quirks and how the people who make really stunning work with it think and structure their projects.
Seriously, the internet is a pandora's box on information on art techniques. Take a look at these art progressions on Deviantart
http://www.deviantart.com/morelikethis/278254127 You can't get good all at once. It usually takes years, sometimes decades. But, you can get better faster if you dive in, really figure out how your medium operates, be self critical without letting it stop you from working, and keep in practice.
Hope this helps