My furnace is a gas hot air furnace. The furnace feels warm to the touch, and the heat pipe from the furnace is very warm, but the blower is not coming on no matter how I set the thermostat. Is it likely the blower motor or the thermostat? I can feel that the baseboard heater in the bathroom is warm, the one in the living room (much larger) does not feel warm at all.

If your blower is not working after a call for heat or if you turn the fan switch to on at the thermostat it's a good chance your blower is bad. With out more info its hard to say.