to conduct yourself: to go about your life among other people in a particular manner
Behind this word is an ordinary physical picture: moving about, turning this way and that, going in and out among people in a particular place. Long before the New Testament, Greek writers had stretched that picture into a way of talking about life itself, so that to move about among people came to mean to live among them in a certain way. By the time of the New Testament this was a standard way to say what kind of person someone actually was in practice.
Because the picture is a social one, the word almost always says where, or among whom, or in what manner the living happens. The New Testament writers fill in that blank in strikingly different ways:
- in the world, with pure motives and by the kindness of God, as Paul defends how he and his coworkers had acted
- in the household of God, which is the church, in the instruction left for Timothy
- in the cravings of the body, describing the life the readers had been rescued from
- in error, describing the teachers who lure unsteady believers back
- honorably, and in reverent awe, as a plain command covering the whole of a believer's life
The matching noun from the same root (ἀναστροφή) names the finished pattern such living produces, a person's whole way of life as others can see it. This verb names the living itself, in progress, and it keeps a use the noun does not: it can also describe someone on the receiving end, being put through a certain kind of treatment.
Set beside the far more common picture for the moral life, περιπατέω, "to walk," which keeps the image of a road with a direction and steps taken in it, this word pictures a person moving among others and carrying themselves a certain way in their company. That is why it fits so naturally in a command about how to behave inside a household.