You don't need any fancy equipment to make sous vide eggs, but there are two items that can make the process easier.
The sous vide machine is one piece of equipment that you need to make sous vide eggs. It basically makes cooking eggs easy because it keeps them at a constant temperature, preventing them from overcooking or burning.
The egg whites will tighten up and become more tender, which makes sous vide eggs easier to peel.
Second, you'll need a container for your sous vide bath. You can use any large pot or container that has enough space for the immersion circulator and also fits in your eggs.