The safest way to store your jewellery would be to keep them in a protected and controlled environment, like a dry box. As most jewellery pieces come with a box or pouch when purchased, it would be ideal to store your jewellery in those places. This not only helps to prevent the jewellery from interacting with harsh chemicals, but also prevent it from being exposed to humid environmental conditions that can eventually cause deterioration. 

Never toss your jewellery into a drawer or leave it on the top of a dresser. This can lead to scratched precious metals and damaged gems. Sterling silver, for example, should be kept in an anti-tarnish bag or cloth for proper safe-keeping. Jewellery boxes that contain individual padded slots for rings and posts for hanging necklaces and bracelets are also ideal. 

When travelling, keep your jewellery in separate boxes or cases to prevent scratching or any other kind of impact damage.