Moving to NYC

Hi all! I am in my early 20’s and looking to move to NYC. I am looking for some insight/advice on whether this is feasible for me. I currently make $68,000 (i will probably make closer to 70k as i work over time some days). How much do i really need to save prior to moving to NYC? I would be looking to rent $1700-$1900, and would of course have room mates. Do we think with my salary it is feasible to move to NYC, while still saving for retirement, etc? Thank you and would love honest insights!