This is the port you need: http://tinkersphere.com/electronic-components/1817-female-micro-usb-solder-connector.html Mine jiggled off since I connected and disconnected the cable so much. You need to desolder the old connector with solder wick and resolder the new one with a soldering iron.
I'm actually doing a similar repair right now and you need to use a soldering iron with a very thin tip. I just got this one: http://tinkersphere.com/electronics-tools/93-soldering-station.html Make sure the soldering iron doesn't touch any of the other components when you're reattaching it. It should be a very quick fix with the right tools.