@Animandel - I agree with @Drentel when he says that all portable space heaters can be hazardous no matter whether they are electric, propane or whatever. You just have to be cautious with them.
This being said, one reason you might not want to choose propane is because of the price of burning propane. Propane is expensive, and for this reason many people are turning away from propane heat to less expensive heating sources.
If I were you then I would consider buying a natural gas portable heater. They heat as well as the propane heaters and natural gas is currently much less expensive than propane.