Almost every smoke detector in existence uses radioactive materials - which by necessity are exposed to the same air we breath. In my darkroom, I used an anti-static brush for cleaning negatives and slides that contained radioactive material. And there is a well-known dish pattern (Fiestaware from the 1930's) that used uranium to achieve its pretty orange color. Unless you are intending to eat the dish or another one of these radioactive devices, the danger is so minimal as to be non-existent. The reason I say 'eat', is the biggest danger is heavy metal poisoning, not radioactivity.
For what it is worth, I am a former emergency first responder for radioactive incidents - beta and gamma geigercounters and the whole bit. I kept a box of such radioactive scrapes and used them for demonstrations to school kids.