In this question we have the comparison of cold and hot objects in terms of thermodynamics, the best set of words for each case is:
Cold objects in a system will absorb heat which means the enthalpy will be positive and the particles will increase movement. This part of the system is endothermic
Endothermic systems will be absorbing energy, as heat, to reach equilibrium
Hot objects in a system will release heat which means that enthalpy will be negative and the particles will decrease movement. This part of the system is exothermic