Find 11 houses for rent with a fireplace in Cleburne, TX. As you search, be aware that there are a few different types of fireplaces, and each has its benefits. Wood-burning fireplaces are the most traditional type, but they require the most maintenance. Gas fireplaces are popular because they are easy to maintain and are virtually smokeless. Electric fireplaces mimic the burning of coal or wood and are the most affordable options. Fireplaces can reduce the amount of energy needed to heat your home, and they provide a cozy atmosphere without needing to crank up the thermostat.