You should follow any storage instructions provided by your healthcare provider and any written instructions provided with your medication or listed on its packaging.
In addition, many government agencies provide information regarding safe storage of medication. Possible sources include the National Institutes of Health’s information page and the Center for Disease Control’s information page
Several government agencies provide information regarding safe disposal of sharps. Please refer to the FDA’s website (“Needles and Other Sharps (Safe Disposal Outside of Health Care Settings)”).