Remington House Spacious one and two bedroom homes for rent in north Austin, just minutes from downtown. Remington House Apartments is an apartment community nestled on 19 acres of expertly manicured grounds and mature live oaks. It is so quiet at our picnic areas and sparkling pool, you would never believe that we are located right off IH-35. Going to work or coming home is no longer an ordeal. Located minutes from downtown just off IH-35 North, between Rundberg and 183, our residents have easy access to major employers, UT and Highland Mall. Escape from the busy work-a-day world and make your home in our emerald green paradise.