For a home battery you need an inverter that converts direct current (DC) from the battery into alternating current (AC) that is suitable for use in the home. This is often called a DC to AC converter, or an inverter/charger in the case of systems that can also be connected to the electricity grid.
The inverter's specifications depend on several factors, including the capacity of the battery, the type and power of the connected devices, and any other features you want, such as grid tie-in to feed excess energy back into the grid.
It is wise to consult a professional when choosing the right inverter for your specific needs, as there are different models and brands available that have different features and specifications. In addition, the installation and design of the system must be tailored to local regulations and electrical standards.