What is the right way to shave?

I've been shaving my legs for years (I'm 23), but no matter what I do, I always get numerous cuts, and ingrown hairs. And if I try to re-shave within 2-3 days, I just get covered in cuts (from going over the ingrown tiny hairs). I'm using a good razor - the gilette vibrating kind. I'm using good shaving cream, too. So what am I doing wrong? I tried using lotion after, and it didn't make a difference.