The article presents selected aspects of the energy modernization process of a single-family building, carried out in accordance with the legal regulations of Poland. One of the elements of this process is the use of renewable energy sources in the selection of heat sources. Two variants of thermo-modernization solutions for the tested facility were generated using the CERTO and the Aterm computer program. One was a heat pump, and the second was hybrid, in which the heat pump is supplied with electricity from photovoltaic panels. The key point of considerations was to conduct a comparative analysis of the operating costs of applied solutions. All variants were based on the same output data including the same building materials from which the thermal modernization process was carried out. The only difference was in the use of different types of thermal energy sources. The aim of the article was, therefore, to carry out a comparative analysis of variants of heat sources used in a single-family residential building—heating in a traditional way and through the use of photovoltaic panels and a heat pump. The results of the analysis in the context of benefits obtained from using renewable energy sources for heating residential buildings are discussed. The analysis showed that the simultaneous application of a heat pump and solar collectors in the analyzed building effectively influenced the values of indicators of annual demand for usable, primary, and final energy. The main conclusion of this research is that the amount of final energy demand in the analyzed case decreased from 86.04 kWh/(m2/year) with natural gas to 40.46 kWh/(m2/year) with a heat pump and a solar collector.