Alpha radiation from radium consists of helium nuclei, which is a whole helium atom minus the electrons. These are (in relation to other forms of radiation) HUGE and easily stopped by almost anything, even a few centimeters of air are enough. You can shield yourself from alpha radiation literally by holding up a sheet of paper. So a watch or some thin glass cover would be sufficient.
I have a friend who has a uranium pellet encased in resin as a keychain, it was an official souvenir from visiting a nuclear power plant.
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