Looking for some advice about my lawn has i have little experience. We moved into this house recently and would like to have a nice lawn. We live in west texas, so it's hot and dry. The garden receives very little shade as we're south facing.

I'm attaching an image to show it's current condition. Apparantly the soil is pretty decent for this area. All i've really done so far is kill off most of the weeds. Should we be starting anew, tilling etc? Thanks.