How do I get blood safely out of my eye?

Ummm. Seriously, don't do that. If you have blood in your eye see a doctor. If it is a benign subconjunctival hemorrhage on the white of the eye it will go away in a week or so.
Don't. The only safe way to get blood out of the eye is by having an eye doctor surgically remove it - but only if it is necessary to be removed. Blood on the white of the eye (subconjunctival hemorrhage) will resolve over time (several weeks) and can be made worse by trying to remove it.