Well if you want "luxury" apartments in White Plains - the new Residence at the Ritz Carlton fits your need. The website is:
The Residences at Ritz Carlton, Westchester: Luxury Condominiums
I assume there are investors that purchased condo's there that will rent to you. Contact a local realtor.
There is also Trump Tower at City Center which is also a Condo building. There are plenty of listings of people renting out units in that building as well. The website is:
citycentercondo.com
You can contact a local realtor about rentals for that also. Also you can go to NYTIMES.COM and click on the Real Estate Link. Choose Search by Zip Code and enter 10601 and go to the Rentals section for a list of available places.
Commute to Grand Central is 30 - 35 minutes on Metro North Railroad. Both of the above complexes are walking distance to the train station. About 10 minutes walk from Trump Tower and 5 minutes from the Ritz.
Good luck!