Come check out the city of course! We live in the historic State Thomas neighborhood, just around the corner from McKinney Street (a.k.a bar central). Here you can hop on the free Trolley, which will take you through all the tourist sites you're dying to see.
Awesome park walking distance form our apartment in Dallas, TX. This park is known for being a little green haven in the urban sprawl of Dallas. They also have a restaurant/bar and plenty of food truck options. Conveniently located across the street from two museums for Dallas Art and Sculptures.
Probably the closest thing to check out if you don't want to go into the city. A 30 minutes drive from the Holiday Inn and a great way to kill an afternoon.