I don't have much perspective on living in hill country. I have been there a bunch and it can be beautiful. I'll just add my take to double up on what
@WoodBow said.
I grew up in PA, moved to north texas 11 years ago. I now live on the northwest outskirts of DFW. Besides the recent craziness of the housing market (we got lucky and moved to a bigger place on an acre last fall) overall cost of living is good and it is a great place for me job wise. The school district we are in is smaller but top class in both academics and sports. I would love to live in the mountains, but I just don't see us moving.
I can hunt pigs on corp land 15 minutes from my house 365 days a year. I don't get out as much as i would like, but I get into pigs about 50% of the time. I can hunt squirrel and rabbits year round on public within 45 minutes of me. People seem to think there is a lot of pressure on the public land near dfw, but it generally feels less than the pressure I grew up with in PA.
Within 4 hours of me there is more public land in Oklahoma than I could ever hunt. And just a little farther to Arkansas. If you have a boat, there are some quality lakes to fish and if you want to fish rivers (we would have called them streams in PA) there are lots of those within a reasonable drive as well. Getting in a quick morning or evening hunt is harder but half day trips can be done.
I'm not sure that my experience is a good reflection of central texas. The general hunting culture is a bit odd to me. I have been lucky and made good friends with a family who own a 4000 acre ranch south of san antonio. I will never turn down an invite if I can make it. It's not as fulfilling of a hunt, but it's always good to fill the freezer. The average hunter seems to like most of their work done for them. Lease some land, sit in a blind, see a lot of animals, make a shot. I'm not going to knock them if that is what they enjoy. But, I've still met a lot of guys much more hardcore than myself that get it done the hard way.
I guess it all depends on what you focus on. I understand the allure of hunting the west, but as a guy that just enjoys opportunity, there are a lot of worse places.
It's been a couple years since I've been able to make a trip out west, but the kids will be more self reliant soon and I'll start making that happen every year as well.