This isn't entirely how it works. When you're under 24, you have to apply for financial aid WITH your parents income considered. The only way out of that is if you're married, or you have a child of your own. I think there might be a couple other odd ways out (perhaps military??), but for MOST students, if you're under 24, your parents income must be considered for financial aid purposes.
For many students, that means that grants are pretty much out. But especially in this economy, many parents are out of work, so obviously their income (or lack thereof) will not hinder financial aid.
You have to fill out a FAFSA form to attend just about any college, unless you are paying cash. If you're going to get student loans or any other form of financial aid through the college, you must fill out the FAFSA.
Fastweb.com is another scholarship resource. You should also contact the school you plan to attend and ask if they have any scholarships or grants available, and if so find out how to apply for them. I won a $500 scholarship that way through the college that I attended for my Associates Degree program. I had to write an essay, but hey - $500 is $500, and I wasn't going to argue with the award.
Good luck!