Thermostat for hot water radiator system

want to change the old, original thermostat in my 1930s house (which has a hot water radiator heating) with a new programmable thermostat. The problem is that I don’t know what kind of thermostat it is in terms of voltage. I do know that the current thermostat has only two wires/leads (the original cloth covered stuff). Also, though I don’t know if this helps, the current furnace is a standing pilot system (Burnham I believe). Would this be a 24 volt system and, if so, what is the best thermostat for this system (I don’t necessarily need one that has an outside temperature sensing feature but I would not count those out). I need to replace the current thermostat because it is very sensitive to vibrations (such as the kids closing doors or hopping around like kids do) that cause it to quickly cycle on and off.

Thanks for any input.