DC Inverter Air Source heat pump Full Heat Recovery Heat Pump Normal air source heat pump Swimming Pool Heat Pump Air to Water Split Heat Pump.How much a heat pump should cost. Average costs and comments from CostHelper’s team of professional journalists and community of users. Installing a small through the wall or window unit air source heat pump to cool and heat a single room costs about $ $,..A heat pump is a device that transfers heat energy from a source of heat to what ised a “heat sink”. Heat pumps move thermal energy in the opposite direction of spontaneous heat transfer, by absorbing heat from a colde and releasing it to a warmer one..How much does a new heat pump cost? Here are estimates for a Trane and Goodman heatpump Seer that I recently got from local contractors..