No activity is absolutely safe, The risk associated with collecting radioactive minerals can be greatly reduced by taking the simple, sensible precautions listed below:-

• Invest in a Geiger counter, learn how to use it properly, and use it regularly to check radiation levels around your collection.
• Visit the US Environmental Protection Agency (EPA) website to learn more about ionising radiation, its effects on human tissue and the currently perceived "safe" levels.
  Note: as knowledge is accumulated, the recommended safety levels may change.
  US Environmental Protection Agency

• Choose smaller specimens. These frequently have finer crystals and smaller specimens will reduce the total amount of radiation.
• Place individual specimens in closed cases whenever possible.
• Keep your collection in a cabinet, preferably a steel one.
• Do not store radioactive specimens in frequently occupied living rooms, especially any that may contain food or drink.
• If possible store the collection in a separate building such as a shed or garage remote from the house. A brick building affords better shielding than a wooden one.
• Make sure that the building is well ventilated.
• Ensure that the collection is kept clean and dust-free.
• Limit the time spent examining your specimens. The measured radiation levels from your collection will determine the maximum number of hours per year that you can safely be exposed to the radiation. If you want to study your specimens in detail, why not photograph them?