i lived in ARL pretty close to JerryWorld from 09-11. There wasn't really anything around there, but it's probably built up now. Sherlocks is great people watching.
Grapevine would be a good choice, but it is a hike; However 360 is your friend for the mid-cities and cuts from DFW to Arlington. I would live in Hurst, Euless, or Bedford, maybe even dt Ft Worth. Unless you're looking at the Dallas side, then just pick a spot on the map.
Not sure if it's still the case, but keep your out of state tag as long as you can and use the Tollways. They won't (didn't) bill out of state vehicles.