frenchy, I was so busy going "over the top" that I didn't respond to your original question. Apologies!
Given that you are in an apartment, propane/butane is probably the best choice. It's a lot more expensive than liquid fuels, but you don't really have a safe place to handle those.
You can't store gasoline, given the obvious fire hazards. Kerosene/lamp fuel would probably be tolerated in modest amounts. I'm not sure how many propane/butane canisters you can safely store in your apartment without violating all sorts of well-intentioned rules and regulations (after all, how many cannisters would you want your next-door neighbour to store?).
If using a propane appliance, always test for leaks before you light up, and don't leave them running unattended. Also, have something ready to smother them with in the event of trouble (a damp bath towel comes to mind).
As to carbon monoxide: a propane stove won't produce a greater carbon monoxide hazard than a gas stove burner. Some kitchen stoves do have a fume hood with ventilation, which reduces the hazard even further, but only when the electricity is on. It's still good practice to crack open a window, though, when such an item is running.
You're probably okay as long as the stove is being used to cook, not as a space heater. That's where the hazard lies. Every time there's an extended blackout, for example, we lose a few people to carbon monoxide because they tried to heat the house with a gas stove or even a propane barbecue brought indoors. They fell asleep on the couch, and stayed that way forever.