I believe that meu is the equivalent to the word my in English, whereas minho is the equivalent of the word mine. Then, these can be altered if referring to a plural noun, in which case you would add an S to the end.
Eu sou um pouco confuso! Sometimes I see possessive pronouns preceded by a definite article and sometime I don't. When is it and is it not appropriate to use an article before a possessive pronoun? Thanks in advance!