I didn't have much time to look around the park, but from what I had a chance to see, it was really nice. Plus, Anthem Hills is a nice part of Henderson. It is also very close to Del Webb Middle School, in case you were wanting to go close to the time school lets out.
The park is sunken in, which is a cool feature. If you don't know what I am talking about, you will see. You have to walk down trails to get to the park, but the incline/decline is not too steep. They are stroller/wheelchair friendly. There is a playground near the parking area; I can't recall if there was a fence around it.
The grass was dying (or already dead) in the winter months, but I'm sure that's the case for all parks. The park is 55 acres (according to the website) and was clean. I would recommend this park if you live in this area.