need advice for heating

[Erin K.]

We recently bought a duplex that has a small one-story, no basement, very old brick house on the property.  We evicted the tenant we inherited and are now rehabbing the house.  The primary concern I have is that the prior owners had installed 2 ventless gas wall heaters that are the only heat source.  The heaters are infrared and like: this heater.  I am concerned about having this type of heat, as it is at a low level from the floor and I am concerned about young kids getting burned, something touching it and starting a fire, etc.  With no vents or basement to make running vents easy, I am not sure what options we have.  Electric heat would be crazy expensive I think due to it being brick and not insulated.  Anyone dealt with this issue and have any suggestions?  

Thanks!