Aye chris22,
Please don't put wire or steel wool anywhere near your rims!!!!!!!!!!!!!!!!!!!!

They are aluminium alloy and small pieces of steel embedded in aluminium = electrolytic reactions = corrosion of the aluminium alloy!
Remove the tyres, inner tubes and rim tapes and then plenty of 'elbow grease' with a grey 'Scotchbite' or similar abrasive pad used for finishing metal or wood (B&Q, Wickes or Screwfix) and an engine cleaner (MucOf, Jizer or Autoglym). An alternative is to set up your own soda blasting kit (if you have a compressor!). Once you have washed the rims with hot water and soft soap flakes and then thoroughly rinsed the rims, you can then use Solvol Autosol (or similar) again with a grey Scotchbrite and then with a course cotton rag, finally buffing with old cotton underwear or Tshirts for that gleam!

A brass suede brush can also be used to remove initial heavy corrosion, but avoid the steel!

Power to your elbows.
My regards, Bill.