This is an excellent place for spending a couple of days. It is less crowded compared to the nearby Sequoia or Yosemite. One single road passes through the park - Rt 180. It hugs the King's river towards the end, and it is a marvelous drive. The canyon is very beautiful, and it is possible to get great views from the road.
Cedar Grove Lodge is an icing on the cake. It has got unparallel location, and very reasonably priced.
i) It is very difficult to understand when you are in the park, and when you are out. See the map and you will understand. When you drive, you keep passing Sequoia National Forest and King's Canyon NP alternately.
ii) Very little of the park is accessible by road. Now, this may be good for some, but for people like us, with limited time and ordinary fitness level, it is not good.
i) Drive the whole stretch of the road, till the end of the park.
ii) Spend a night in the Cedar Grove Lodge.
iii) Take the Don Cecil trail (there are definitely a lot of good hikes, but we liked this one the best). You pass through cool shade of a shady forest, the end of the first leg brings you to a very beautiful waterfall, and throught the trail, the mild fragrance of incense cedar creates a dreamy atmosphere. It is out of the world.
iv) Take the General Grant trail.