OK. Here's my input:
We live in Preston Hollow, west of 75 (Central Expressway) and north of Park Lane. We are very close to NorthPark mall. The apartments that are right on Central north of Walnut Hill are scary (at Meadow, Royal, Forest, etc.), and everything east of Central is scary unless you are a few miles east, which is farther from Love Field. Apartments in The Village are not too bad, I don't think. That is Shady Brook at NW Hwy. The Park Cities (University Park and Highland Park) are fabulous but they are EXPENSIVE. There are some nice new townhome/condo things on NW Hwy between Hillcrest and Preston Rd. that might work well. I think the cross street is Thackery?
The smaller/older homes right around the airport are largely Hispanic neighborhoods and safety might be spotty. There is a neighborhood just south of Lovers Lane, west of Inwood that I used to think looked nice. I drove down one street, the houses were cute and the prices were reasonable. The one day I was coming home from the vet's office and I was a few streets over - YIKES!! The houses were held together with duct tape and cardboard! No wonder the "nice" street wasn't expensive!
Oak Lawn is the "gay" area - zip 75219. I personally love that area - lots of restaurants. Also lots of little condos, duplexes, that sort of thing. Kind of funny - it is gay and Hispanic. Every year at the Gay Pride Parade there are tons of Hispanic families watching the floats, kids hollering for beads. It is lots of fun.

I don't know if there are many single family homes in that area - I think most of them have been divided up into multi-family dwellings. I have never felt "unsafe" walking around Oak Lawn, but I am not down there at night very often and I am in the area where the restaurants and bars are, not the residential parts.
Sure it would be nice to have a house with good public schools, but the VAST majority of people send their kids to private schools. I wouldn't panic about it hurting your resale value. DS goes to Preston Hollow Elementary, which is a DISD public school. We had him in private school through first grade, and the switch to public has been fine.
Good luck! Dallas is such an enormous area it will take awhile to sift through all the options!