The location is naer the harbour. If you want to go to the old city take the bus. Number 35 is leaving near your appartment. It leaves every 9 minutes. Buses are scheduled until 22.30!!
There is a good bike shop at Avenida del Puerta called "Youbike" At the same height as your location.
Restaurants at Avenida the Francia are good ! Bus 19 brings you to the centre
Take a morning walk through the Turia garden near de modern lacations that makes Valancia so intersting, or bring your runningshoes for a very good run. And if your not a runner, a picknick in the park is also a good opportunity
ENJOY !