Shanequa J. Hey Shanequa, let me be the first to welcome your move to Houston! Now is a great time to be buying investment property in the area.
To be 100% honest with you, to the best of my knowledge, there aren't a ton of "great" areas in Houston that feature duplexes. Depending on what your other criteria for living area (and budget) is, you might consider a single-family home with a garage apartment, which are a little more common in the nicer areas. That said, the quality of life in Houston proper is very much neighborhood (and even block) specific, whereas some of the outer-lying suburbs such as Spring, Cypress, Katy, Sugar Land, parts of Missouri City, and Pearland all tend to have better reputations overall. There are duplexes in all of these areas, but I wouldn't expect much of a discount since they're all in high demand by investors.
I just did a quick MLS search for multi-family under $130k and there are plenty available, but almost none in the areas I listed above. Again, it just depends on where you want to live, etc.