Soap and water is enough. The anodized layer resists corrosion well and needs nothing added. The two things to know are that aluminum dents rather than chips, and that once anodizing is breached the bare metal underneath will oxidize, though it will not rust through.
Anodizing builds a hard oxide layer that resists corrosion and holds color. Type III hard anodizing in particular is genuinely tough. That layer is the protection, so the care routine is really about not damaging it.
Avoid strong alkaline cleaners such as oven cleaner, which attack anodized aluminum directly.
Aluminum is softer than steel and takes permanent dents from hard knocks. Nothing restores a dent, and touch-up is not realistic on an anodized finish because the color is in the oxide layer rather than in a paint film.
Deep scratches expose bare metal, which will dull and gray as it oxidizes. That oxide is self-limiting and will not eat through.
Aluminum draws heat out of your hand fast, so a bare handle in freezing weather is genuinely unpleasant. Textured or rubber-inlaid designs help with grip; nothing helps much with cold.
See the glossary entry.