The exact ways you say 'I', 'me', 'mine', 'you', 'yours' in Polish depends on the case we're using to form the sentence.
If you aren't clear on your cases yet see the Polish Language Cases - Which case to use and when page.
And if you would like to know more about this area of grammar because you're a bit of a Grammar fan the correct search term for Google is "Polish Personal Pronouns".