3 BEDROOM 2 BATH Amazing Deals at The Paddocks Apartments The community is conveniently located next to Albertsons and popular eateries: Whataburger, Sid & Sam Original Steakhouse, and Sonic Drive-In. Just minutes from the Odessa Regional Medical Center and Odessa College. At Paddocks, our apartment homes are completely renovated inside and out with new appliances, fresh paint, large closets, and BBQ grilling area. Enjoy the convenience of ample parking and on-site laundry.