Can you shower with a tennis bracelet?
I never take mine off and I am starting to wonder if that is okay.
Safest home method: warm water, a drop of Dawn, 20 minutes soak, soft toothbrush on the underside, pat dry. Skip toothpaste, skip paper towels (they scratch). Do this every 2-4 weeks and your ring will look new.
Store each piece separately in a soft pouch or anti-tarnish bag. Silver and gold scratch each other. Add silica gel packets to absorb moisture. A divided jewelry box works. Never toss all your necklaces in one drawer - they tangle and scratch.