I find that a small wire brush (brass--plastic or wooden handle), on the male contacts (there are some where even the male contacts are covered by a rubber shield--often this can be rolled back) to clean off corrosion, and then work the male and female plugs together with "contact cleaner"--it comes in a spray can. I usually then use a grease, or often "Corrosion Block" on the contact afterward. If the female contacts are heavily corroded then I first will use Q tips (I find wooden handled work best. I also have an old larger wire brush, which I can take several bristles and work them around in the female contacts with cleaner.
Something I have thought about, but not used, in a pinch would be pumice citrus hand cleaner, with a Q tip--on the female or with the male pins. You would want to flush with WD 40 or contact cleaner after use and clean with dry Q tips to remove any grit. I find the pumice citrus hand cleaner to be an excellent cleaner for many items, including the "sticky" and dirty residue on fenders or dirty power cords--spray them with 303 for plastic or vinyl after and they will be almost like new.
Rob may have a different set up than our standard 4 or 5 pin--since they don't have any springs in them. The 6 and 7 pin connectors (which I use with the electric over hydraulic brakes) do have a cover with a spring in it. I have had to replace those.
If you hit them with some corrosion block agent after use--you can slow down corrosion..