Don't replace if there isn't any heavily tarnished or corroded pins. If only a couple are damaged, you could just change them out with unused pins. It's a good quality, gold plated connector. Unlike all of the cheap chinese ones flying about.
You could just clean the pins with isopropyl alcohol and an old tooth brush. Cardboard is another way of cleaning them. Don't use a heavy abrasive, like sand paper. Which takes the gold protective layer away and leaves the pins open to quickly oxidize.
It's the decent gold plating on these, that make them worth keeping. Think there around 4 or 5 quid new, not expensive. But why replace something that doesn't need replacing, right.
Get yourself some 60/40 leaded solder and some flux. Just incase you're having any issues with the solder not taking. Then just cut back 10 or 20 mm on each wire, tin the wires and the connector tabs. Solder them together. Stick some heatshrink tubing on before you solder everything, obviously, and away you go. It'll then hopefully work and look better than new