Wiktionary
make one's way
vb. (context idiomatic English) To move forward, usually toward a destination or goal, physically or conceptually.
Usage examples of "make one's way".
In the dimlylit depths, under the intolerable weight of a hundred feet of water, to hold one's breath, suffocating, and to make one's way in among the tangled timbers, must be a frightful thing to do.
It was difficult to make one's way through, unless one would venture among the carriages.
It would be possible to slip away from you and make one's way hidden in the tall grass—.
True, one could enter the crater lake anywhere and make one's way through the Sargasso, but the unexplored weed was fraught with dangers.