Home Assistant is a web server. This is why I recommend using a dedicated host computer. Many people start with a Raspberry Pi (4 or 5), or buy a Home Assistant Green with Home Assistant already installed. (I have never seen a green, but they seem to be popular)…
There must be a dozen different installation methods- largely dictated with your available host computer and how you want to use it. The easiest installation is called “Bare Metal” because there is no complication from using virtual machines or containers. You just flash the x-86 binary to your boot device, reboot and you are done. If you are using the Raspberry Pi, Home Assistant is an option in the Raspberry Pi Imager.
As said by others, an old laptop is a good start, but be aware that Home Assistant is expected to be running 24/7. Many older laptops aren’t designed for 24/7 operation. If you haven’t purchased a host computer, most mini-PC’s can be had on eBay (used) for less than the cost of a new Raspberry Pi and will outperform the Pi in every metric.
Regardless of which host computer you start with, migrating to a more robust platform later is pretty straightforward. Just backup/restore.
As you lurk about this forum you will see a pronounced aversion to any devices that require a cloud connection to work. (Some devices will require a cloud connection to set up, but not for normal operation). For example Belkin is ending at the end of January 2026, cloud support for Wemo smart plugs, switches, sensors, and appliances, rendering them “dumb” or completely nonfunctional. Neato Robotics (robot vacuums) parent company shut down the cloud servers three years earlier than promised. Devices become “dumb vacuums” with only basic button‑based operation.
WiFi - I learned the hard way that ISP-provided WiFi routers are trash. More specifically, they are the low bidders and only have enough memory to support two or three dozen WiFi clients. If your path down the rabbit hole includes a lot of WiFi devices, you may need to upgrade your router before long.
How to set it all up. One device at a time. Some or many of your devices will be “discovered” by Home Assistant making the integration simple. There are many hundreds of official integrations, and even more from the community. (It is open-source)
Again, one device at a time. If you run into problems, read this then come here for help.