You may be thinking, "Hah! That foolish woman has a faltering grasp of grammar. It's than I."
Au contraire, mon pest. A recent Language Log post linked to an older post explaining why either me or I is correct. Per the Columbia Guide to Standard American English:
"Than is both a subordinating conjunction, as in She is wiser than I am, and a preposition, as in She is wiser than me. As subject of the clause introduced by the conjunction than, the pronoun must be nominative, and as object of the preposition than, the following pronoun must be in the objective case. ...Some commentators believe that the conjunction is currently more frequent than the preposition, but both are unquestionably Standard."
So if you've been internally berating yourself every time you use "than me," cut yourself some slack. It's A-OK.