Rinse before you touch it, use two buckets, and never wash a car in direct sunlight or with a household sponge.
Nearly all the fine scratches on a car's paint, the swirl marks you see in low sun, are put there during washing rather than by anything on the road. The method matters far more than the products, and the method is mostly about not dragging grit across the paint.
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Every tip in cleaning
Rinse the whole car first, then use two buckets, one with shampoo and one with plain water to rinse the mitt in between panels. Work top down and never in direct sun.
A polish with a mild abrasive removes them by taking off a very thin layer of clear coat. If your fingernail catches in a scratch, it is too deep for polish.
Two cloths, one damp with glass cleaner and one dry, and wipe the inside horizontally and the outside vertically so you can tell which side a smear is on.
Find and remove the source, then deal with the air conditioning, which is where stubborn musty smells usually live. Air fresheners hide the problem rather than fixing it.
A dedicated non-acidic wheel cleaner, a soft brush, and do them when the wheels are cool. Acidic cleaners strip the lacquer and the damage does not show for months.
Household chemicals can be dangerous in combination. Never mix them, keep the room ventilated, and test anything on a hidden patch first. Full disclaimer.