Electromechanical Relay for VAC switching
You can use an Opto-Triac as a cheap SSR. There are many posts here that discuss that. One of them is here.

Here is where @stevenvh builds an equivalent of a SSR.

Here is another discussion related to yours.

Another good post answered by @Anindo.

Below is one of the classic image used in most of the SSR discussions:



Opto-triac solution will save you space over EMR.
Opto-triacs do come in zero-cross flavors.
For a coffee machine switching delay is negligible.
"Moving parts" are the traps to avoid.