13k is plenty for a good-sized apartment. May I suggest the New Territories (Tai Wai > Sha Tin > Fo Tan) ... you will get more for your money and i find the locations very convenient - more so than many apartments in Hung Hom. There are buses everywhere and buses back from Central and Wanchai at all hours of the night (which is useful when you're less than sober). It's also not too far from the university. There are also bars in Tai Wai filled with expats in case you can't be bothered travelling.
As for shopping, Festival Walk and New Town Plaza are just 1 stop/5 mins away by train. Mong Kok markets are only 2 stops away as well. I'm a girl and this is one of the best features for me.
There is also plenty of space to jog; along the Shing Mun river is a track, for example.
You can find bus routes at:
Kowloon Motor Bus Company (1933) Ltd. or
城巴/新巴 - 周大福企業及新創建集團成員 - 主頁
You can find a map of bus routes at
YPMap
Hope that helps...
