"I am invisible when I run, so 'accommodating and alive' is my motto...whenever you come to an intersection and cross a street, assume that the driver cannot see you, even if you make eye contact..."
What does "accommodating" mean in this sense?
It means you change to fit for specific situations.
I can not infer from the text what in fact the writer means by his/her motto, but I am sure 'accommodating' is used in this sense there.
If you are accommodating, you accept others and make allowances, so the person will always allow for the other drivers' incompetence and be prepared to give way.