How can I find out all the different races I have in me for free?

you have to make a family tree upwards from mom pop grandparents etc DNA will not give you all back information that u seem to want we all are admixtures of millions of genes passed

You don't draw blood. You scrape the inside of your cheek with a small spoon. It costs $99 and up. You can spend 300 hours of research, for free, and get back to 1850 or the immigrant on 75% of your lines. Write to me via my profile if you are interested.

For free? You can't, unless your recent ancestors included all races and can be found in public documents. They do not draw blood; they send you a kit, you take the 2 swabs and swab the insides of your cheeks, send the kit back and they send you a report stating where in the world your ancestors came from. There are several drawbacks. 1. It works only in a straight line. Your mtDNA reflects your mother, her mother, her mother, back to Eve. 2. The yDNA does the same for men, which is another handicap: women don't have it, can't be tested for it.

I don't know if anyone could take a blood DNA for free, but sometime people order DNA from Ancestry.com, and it will teach you how to step with your DNA, I think it might be easy and simple, but it costs $100 around I think, but I recommended for taking DNA blood at clinic near your location better, cause it might be good result and accurate. But I am not a DNA expert so you could ask someone who is Expert.

You don't, at least not for free. There are many sites that offer DNA test kits, what are cheek swabs, to determine ancient ancestry from Genetics.