A great option for lodging is Airbnbs. The city is pretty easy to navigate, and there are Airbnbs spread out throughout the town to fit particular needs such as number of guests and price. We also included some nearby hotels as well!
Enterprise, Hertz, Avis, and Budget all have rental car locations in Lubbock. Tyler and I have used an app, Turo, which has helped us get rental cars in California, and North Carolina as well. Both of our experiences were super awesome, and super easy!