not sure if you are loooking to buy or rent from the amount quoted by you.
Tenefly, Teaneck, Englewood. Fairlawn would be suitable from the point of commuting to NYC and these towns are pretty close together.
If you wish to rent then usually houses are leased on a yearly basis with the need to advise of leaving one month before the end of the lease so if you wanted to move in July first there should be availability whne you visit at the end of april although the owners would probably expect you to pay the security up front in order to hod it for you until you move in. That is probably something your husbands employer might be willing to assist you with.
My web site is below with contact info I would be happy to assist you