Yes, you are welcome to bring your pets to the recreation areas as long as they stay on a leash or in a crate/cage at all times.
In park areas where hunting is permitted, the use of hunting dogs is allowed, provided the area is open to hunting and the dogs' owner or handler accompany and have control of such dogs and are responsible for the actions of such dogs.
Horseback riding and the use of pack animals is permitted only on roadways and designated trails.
See full rules and regulations concerning dogs, cats, and other livestock
here.