A few weeks ago we received a NewAir space heater and we really like it. We've used oil filled heaters before, but tucked them away after our little girl became mobile.
We really like the NewAir heater (model AH-450) because it heats the room without getting too hot to touch. If it does become too hot, there's a caution light that comes on (although we've never seen it aglow because we keep the heater at a relatively low setting). Other great features of the heater include it's built-in 8-hour timer, three different heat settings (high, medium, and low), and a programmable electronic thermostat that monitors the room's temperature to conserve energy and keep you cozy.
We are so pleased with this heater because we never worry about the heater burning our little one. On a low setting, it adds warmth to the room, but never feels hot enough to cause injury.
You can find this NewAir heater at Amazon.com for $85.95.