You can find some good pics on AllEars
HERE
The dog park isn't really close to the kennels at all. See map
HERE. Kennels are at the front of the Fort (bottom right of map) and dog park is across from 500 loop, adjacent to 300. It would be a heck of a walk - and dogs aren't allowed on buses. There is no place to park a car near the dog park, but there is golf cart parking nearby and leashed dogs are allowed on carts (except in areas posted as "no pets" like the pool, Meadows, marina/Settlement, playgrounds, comfort stations...)
You can see the sign posting the dog park rules
HERE.
There are double locking gates leading in, several places for water. If the watering troughs are warm, just splash out what's in there and they'll refill with fresh water.
Plenty of space to throw a ball or frisbee. Mostly flat except for the hill running across the middle (which IIRC is actually the old railroad bed). One area with some shade, but majority is in the sun. Nice grassy surface, benches and a couple of picnic tables.