Are there any apartment rentals in the Scarsdale area?

Oh most definitely. There are apartments available in the village itself on Garth Road directly above the shops. A one bedroom will cost you about $1,500 and up and a two bedroom will run you anywhere $2,500-$3,300, but is conveniently located, for sure, directly across from the train station, right near the Bronx River Parkway and 3-10 minutes from the Central Ave shopping strip as well as downtown White Plains. There are also some pretty nice condo and coop complexes along the Scarsdale portion of Central Avenue.