Need help setting up homebridge on a NAS

I bought some govee lights that I will need to use homebridge on but I am trying to set up a NAS to run this on. Is there a consensus on which to run it on? Looking for something cheap, preferably under $100 without the drives

My initial thought was to run it on a Raspberry Pi but I also need something that can hold my files and serve them to the Apple TVs I have around the house. I don't think transcoding is very important as I will be only be streaming in my own network on devices I can set up.

I've seen some cheap 1 liter PCs be used as servers but is it possible to run homebridge on those? What is the set up like? I know these are very beginner questions but I am not very familiar with networking.