Yes, there is new construction in and around the DFW area in the $150K range. What you get for your money depends upon where in the metroplex you want to be.
What kind of square footage do you want? Where will you be working? How many bedrooms and baths? What do you consider a "decent size" yard? Are you wanting something in an urban, suburban, or rural setting? What kind of amenities are you looking for, i.e., planned community with community pools, walking paths, golf facilities, ponds and wild fowl?
I'd love to help you find your new home in Texas. If you can answer some of these questions, we can find some areas that you can investigate before you come here to find your new home