[ny] Spousal Support In Family Court- Still Married

Husband left abruptly and I plan to file a petition for spousal support in family court. I currently do not have a place to live and no support friends or family close by. Husband did not leave me with any access to our finances. I live off of part time income, around 20k/ year. I am looking for more work but I also attend school full time. My husband makes 150k/year. I have both our financial records for the last 3 years. I am in a desperate situation and am in need of financial support.

Wondering if anyone has had experience filing for spousal support through family court in NY (not Supreme Court/divorce court). What is the likely hood they will grant me an immediate relief if I have all of our financials as evidence? I heard of filing an "order to show cause" which I read was for emergency circumstances but I do not know if applies to my situation.

Husband already has nice new home as seen on social media but Idk where. I do not have enough money to file for divorce yet. Will either let him file, or file once I am in a better position. Was told family court is the way to go.

Any suggestions would be great.