We've stayed 3 places within Saratoga Springs, and I would recommend all three for different reasons.
The Springs Area -- is closest to the main pool, arcade, community center, Artists Palette, etc. Great if you have kids that will frequent these areas, as I do -- it's my favorite.
Congress Park -- further away from all of the above, but closest to Downtown Disney. The walk over is a nice one.
The Grandstand -- has its own themed pool and bar, which is adorable and always less crowded than the main pool. Also, if you request a room close to the pool, you will be just as close to the restaurants and check-in area.
Have a great time!