Dog parks were all the rage here for probably a dozen years, but now people are realizing that there are lots of contagious things that get passed between dogs, and there is less traffic. Check around with your vet and ask if they're seeing any of the flu and such that dogs can get, and if the dog park is wise. At least so soon - I'd let her get settled in and really imprinted on you before I took her to someplace with lots of other people and dogs. Make sure she feels comfortable with the current environment.

I brought home a new dog (blue heeler) on June 2 of this year, and I think it is only in the last few weeks that I really see her relaxing more as she is thoroughly comfortable with our routine (though she is still a hyper herding-type dog). They spend more than a few weeks watching you carefully to see if you're really seriously going to love them and keep them (it's kind of wonderful and heartbreaking at the same time). I literally saw the whites of her eyes more in the early days - open wide, ready to respond to unknown threats or who knows what - we don't know her story before the shelter, and then she spent at least 2 months there. That alone is quite traumatizing. Now she loves the routine of everyone waiting to be told they can eat, once their bowls are filled, and she accepts that I "herd" her back to sit beside the lab instead of letting her hover as close to my feet as possible. She's "one of the dogs," and being part of the pack, with or without other dogs, is important as they get used to a new place. (If you have access to any of Cesar Millan's "Dog Whisperer" videos, they're very helpful.)

You have wonderful loving days ahead with this new pooch, but there is a period of adjustment.