find one's way around sth

What context did you have in mind?
If you are talking about something like a computer program, it would mean to discover the features of the program and learn how to use them.

Guys lost on unfamiliar streets often avoid asking for directions from locals. We try to tough it out with map and compass. Admitting being lost feels like admitting stupidity. This is a stereotype, but it has a large grain of truth. It's also a good metaphor for a big overlooked problem in the human sciences.
We're trying to find our way around the dark continent of human nature. We sc

If you "know your way" around your town you are familiar with the streets and the landmarks, and know how to get to where you want to go. If you don't know your way then you have to find your way when you want to get somewhere, that is, discover where it is and how to get there.
Here, it's being used metaphorically, to say that they don't really understand how the mind works, and so th

What does 'around' mean?

Around here means "in, or to, many places in an area or locality".