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You can use just a brass lacquer polishing cloth. If desired, add a small amount of spray furniture wax. Avoid wash clothes, paper towels and any cleaning product not specifically made for brass instrument care. You can safely tighten loose rod screws, but be careful not to over-torque them. Specialty swabs, pad savers and bell brushes can be washed lightly by hand with a small amount of soap. Each should last years if cleaned regularly. It should look, feel, and play beautifully! When in doubt, consult a professional.
Polish the body. Tighten loose screws. Clean your cleaners. Reassemble your saxophone.