Heating method for rental

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I have a rental in Rochester New York, the house is on a slab and from what I have read you can’t have an HVAC or boiler on a slab. The house has baseboard electric heat throughout but it seems to not be efficient and runs up the electric bill dramatically. Honestly the baseboard heat looks to be very old and they do produce heat but not much. Does anybody on BP know of a better option or maybe a product they have found to be useful? Thanks in advance for the help!