The handling of moving boundaries of immersed particles requires special attention in thermal lattice Boltzmann simulations of particle-laden flows. The following three issues are of special importance: First, the thermal boundary conditions (Dirichlet or Neumann) have to be fulfilled on the particle surface. Second, reasonable values have to be found for temperature distributions in grid nodes that are uncovered by moving particles. Third, the heat transfer between particulate and fluid phase has to be evaluated efficiently. In this work, we present new numerical schemes for all of these three key aspects. They rely to a great degree on existing schemes for the hydrodynamic lattice Boltzmann method. In four benchmark cases we assess which of them are the most favourable ones and we also show to what extent schemes based on the same principles behave similarly or differently in the flow and heat transfer simulation. (C) 2019 Elsevier B.V. All rights reserved.