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We had come from New Delhi, India to New York to fulfill our dream of living together, even though it meant I had to sleep in the living room and my mother had to walk me four miles to and from school. My father’s new job in New York represented the first opportunity for our family to spend time together daily. Until then, I had only been able to see my father, who was a sea captain, every six months.

Is this conceptually clear/grammatically correct?
Any suggestions for how to rephrase these but still say the same thing?

We had come from New Delhi, India to New York to fulfill our dream of living together. Though it meant I had to sleep in the living room, and my mother had to walk me four miles to and from school, this job represented the first opportunity our family had to spend time together on a daily basis. Until then, I had only been able to see my father, who was a sea captain, every six months.

Not sure if that is right, in a rush, but would definitely break up the first sentence. You can't attach some crappy clause onto a statement that ends in "fulfill our dream of living together."

we left new delhi...

Do not say "had come." Say "came." "Left" would require re-wording the entire thing. Start the second sentence with "Even though" and take out the first comma. Also, replace "this" with "the." (Don't shift to reader to the present with "this.")

Overall, I think the whole thing is poorly worded because you begin by saying it was the first chance you had to be together daily, but don't get to why until a couple of sentences later (why?). I don't mean to be overly critical, but I don't think you are intending to be coy so just say it in the order that makes sense.