How to cite in text a citation translated by me
Your suggestion "Name (2001, translated by me)" seems good to me.  Or else "Name (2001)" and then include translation information in the reference.  

However, in a formal paper you would not say "translated by me".  Maybe "translated by the author" or "translated by AB" your initials, or even "translated by Alexis Brown" your name.

If there are several of your translations in the paper, maybe say once at the beginning: "Translations are by AB, unless otherwise attributed".