I wouldn't describe the savannahs as lush, they are more grassland with trees, the pool area, however, has grown quite lush, IMO. Assuming you are staying in Jambo house (the main resort) Arusha is the middle savannah which the resort wings encompass. The two other savannahs you can see from Jambo are Sunset savannah (left as you face the back of the resort)- which is visible from rooms off the hallways named Kudu trail and Ostrich trail; and Uzima savannah (right as you face the back of the resort) which is visible from rooms off the hallway named Zebra trail.
Here's a map
http://dvcnews.com/index.php/resorts/animal-kingdom-villas/maps-a-photos
Btw, the 4th savannah is called Pembe and is quite small, it's only visible from a few villas in the
DVC only portion of AKL (Kidani) - or if you take the Wanyama dinner safari.
More important than which savannah, is where you are on the savannah, IMO, near a waterhole, or a feeding area (they put food up in particular trees for the Giraffes, for example) being prime locations, out in the narrow areas of Uzima or Sunset or over a people pen being less desirable.