I'm not sure about the model you're thinking about, pics might help someone here identify the lume.
Tritium lume is nothing to worry about in most circumstances. It's my understanding that the radiation from tritium cannot penetrate skin. If you open the watch for service, or happen to break open the crystal, you must take care to not ingest or inhale any tritium-containing dust/particles.
Radium is more of a concern, as Radon gas is created as it degrades. If you own a watch with Radium lume, you shouldn't keep it in a bedroom. Best practice is to store it in a hermetically sealed container, and only open the container outdoors before you put on the watch.