I find it easiest to think about enthalpy in the context of temperature.
Enthalpy is the amount of heat energy contained within an arbitrarily defined system. So for example, you define the coffee in the cup to be your system, enthalpy is the state variable that you can use to characterize the amount of heat in that cup.
Take note that heat in the thermodynamic sense means the sum of the kinetic energies of each molecule in the system. So KE = 1/2 * m * v^2. That's why the diffusion of gasses occurs faster in higher temperature systems. Also, a reaction involving the The molecules are literally moving faster.
*It also includes the vibrational and orbital energies of every molecule in the system, but my personal view is that it is easier to just consider the kinetic energies. Because it is a better mental image to picture a bunch of molecules flying around, rather than a bunch of molecules shivering next to each other.
Also notice the words state variable. Enthalpy is a state variable. The enthalpy in a system is constant until that system is acted upon by an external actor. 273
Because it is a state variable, it would be very hard for us to exactly determine the enthalpy of a system without some known reference. That is why, when talking about a chemical reaction or system of reactions, you will often see the change in enthalpy as opposed to just enthalpy. It is easier to measure the change in state rather than the instantaneous state.
But back to my original thought. The temperature of an object is best thought of as the energy difference that drives heat energy to move from one object to another until they reach equilibrium. While the enthalpy of each object is the actual amount of heat that is in each object. An analogy is a pressurized chamber that can be opened to the atmosphere. The chamber is at a higher pressure because it has a different set of state variables than the atmosphere (volume, quantity of gas [moles], temperature). And when it is opened up, the pressure will change until it reaches equilibrium with the atmosphere.
Take a look at the following picture and think of the enthalpy vs. temperature of each box. 273