Greetings AKnight,
Dogs are very popular in Old City, there are many. While there isn't a "dog" park there are many parks where dogs gather to meet. Along New Street at the north end all along the elevated highway, towards the middle at 2nd and Church across the street from historic Christ Church is a favorite being its fenced in, and the all the historic parks are great for strolls. Actually the amount of green area is amazing. --Its important for everyone to pick up afterwards to help keep a healthy environment. Hope this helps.
