Start with finding a local inspector and a pest inspector, they will go over the house and report back to you on the results. Most lenders will require a pest inspection unless the house is new construction. Lyons Realty recommends getting every house inspected.
Determine what other inspections you may want, common ones include foundation, hydro-static and radon testing. This is also the time to setup any other inspections that you wish to have.
Now that you are Under Contract and all the Inspections are over you may want to update parts of the House. The link below includes local remodelers in the Lubbock area along with, Carpet Companies, Cleaning Services and so much more.