To keep your jewellery pieces looking lovely, I recommend cleaning your pieces with a jewellery polishing cloth. With plated items, polish gently so not to damage the plating. You can use warm water and a mild dish detergent to clean your jewellery, ensure you thouroughly dry it afterwards.
Take particular care when cleaning pieces with gemstones, use a soft toothbrush to clean round them. I wouldnt recommend the dip style cleaners as these are not suitable for gemstones, pearls etc.