Almost any heater is safe for a baby's room if he is an infant and not yet ambulatory. However, fuel-powered appliances such as kerosene, propane or gas heaters should be well-maintained and monitored closely to prevent the possibility of carbon monoxide leakage. All types of portable heaters should be placed on a level surface and plugged directly into the wall if possible, rather than using an extension cord.
Baseboard heaters are an ideal choice for a baby's room because they are designed to heat the room evenly and are attached to the wall. Unlike a portable space heater, there is no danger of the heater being tipped over. If you have a toddler, check to be sure your baseboard heater has small grill openings to keep small fingers from getting burnt and prevent small objects from being dropped inside by curious toddlers.
Ceramic space heaters are small, portable and have ceramic discs inside that are heated by electricity. They do not give off enough heat to cause serious burns, and they should be placed fairly close to the baby's crib or bed since they do not warm an entire room.
Radiant space heaters such as quartz and infrared heaters operate by directing heat toward an object as opposed to warming an entire room. This type of heater is a safe choice for a baby's room because the heating elements are enclosed, and many have an automatic shutoff feature if they are tipped over.
A convection heater is a circular, portable heater that warms air and distributes it throughout the room. While fanless models do not produce as much heat as other types of heaters, they are a safe option for a baby's room because the heating elements are enclosed. They are also quiet so they won't disturb the baby while she's napping.