Peppermill Apartments for rent in Universal City, TX on ForRent.com: (866) 856-9883 - Availability, pricing and special promotions subject to change daily. Peppermill is located near Randolph Air Force Base in Universal City. Our community has been recently renovated and now offers beautifully landscaped area including two swimming pools with jacuzzi, tennis courts, sports court, playscape. We also provide a business center and fitness center. Our apartment homes include built-in microwaves, vaulted ceilings, washerdryer connections, fireplaces and dry bars in select units.