I think the previous two posts really have it covered. The techno-shower and the video screen were really the big two things that stick out to me. The only think I might could add, which might be stretching a bit, would be the Avox servants. While not a physical fixture, they were definitely part of the apartment.
I think another technology feature is the "window" that also serves as a TV screen and photo screen. A modern design makes things like more futuristic and contrasts greatly from the appearance of her home in District 12. The modern design also includes many luxuries (light fixtures, bedding, etc).
Katniss's apartment in the Training Center has many features. A lot of the features discussed have to do with technology that she has never seen. One such feature is the shower. There are a series of buttons that change the temperature and provide special soaps and shampoos. There is a closet that can be programed to provide particular outfits. There is even a microphone that takes food orders and the food appears, hot and ready to eat.