first off i was wondering if you are looking for answers to a) what the connector is called and/or b) how to get the connector pins out without damaging the connector ..... assuming you want both:
a) the actual plastic housing is a molex type connector and a great place to start is at digikey
www.digikey.com and type 'molex' into the search box
b) the tool used to remove the molex pins is here:
http://search.digikey.com/scripts/Dk...name=WM9930-ND
to order new pins, here is the link with the part number and ordering info:
http://search.digikey.com/scripts/Dk...name=WM1102-ND
if you don't care about ruining the pins, the suggested picks would work but then you would need the crimping tool (expensive) to replace new pins
EDIT: when you say 'connector', do you mean the plastic housing or the actual metal pin