Use the preterit tense to terminate the event; this event being... being.
You might ask yourself, "How can I terminate my being?", but asking questions like that might send you to the insane asylum after awhile. In English we don't think about how to terminate our being, because we have an equally, if not more, confusing verb to use.
To get
A verb with 8 different meanings that get even more complex.
When did you get here?
I got here yesterday.
To use it in the context of your example
When I got to New York I took the subway.
Hopefully by reading these examples you can understand when to use estar
in the preterit form.
Estuve mojado cuando llovía ayer
I got wet when it rained yesterday.
A more proper translation, yet not common in use whatsoever.
I was moistened when it rained yesterday.
But that sentence is an absolute translation, because was
is the past tense of to be