Me is a direct object pronoun as well as an indirect object pronoun.
Me odias, ¿no? -- You hate me don't you? (Direct Object Pronoun)
Ella me compró esos regalos. -- She bought those gifts for me. (Indirect Object Pronoun)
Mi on the other hand is a possesive adjective.
Mi libro -- My book
Mi coche/carro -- My car
The plural form of 'mi' is 'mis'
Mis libros -- My books
Mis televisiones -- My televisions
Mí (notice the accented 'I')
This is a prepositional object pronoun, used after prepositons only.
Me dio los libros a mí -- He gave the books to me. (Redudant construction but the noneless helps you to see the point)
La casa de mí -- My house (lit. The house of me; Unnecessary when I could have simply said Mi casa but oh well...XD)
¡Espero que te ayude! <-- I hope that's right LOL