Should you unplug the cable once your MBP is fully charged? With Mavericks is this still needed? Doesn't this eventually cause the battery to die faster because it means it'll have to go through more cycles frequently?
Personally if I am using the machine I will keep the charger plugged in until I'm done, regardless of whether its full or not, if I'm not using the machine I will unplug when its full.

Read up on Apple's official recommendations, there is some good stuff here:

http://www.apple.com/batteries/

Follow the links at the bottom.