exothermic means that heat is being lost from the system. so it actually has a negative enthalpy change.
endothermic means that the heat of the system increases, so it has a positive enthalpy change.
when an system in equilibrium's temperature is increased, it wants to make that temperature go back down again. This means that the eq.position will move to the endothermic side because it will use up the heat and reduce the temperature.
Is that clear?