With so many home projector available on the market nowadays, it can be confusing.
Mainly, there are two types of projector for home: home entertainment projector and home theatre projector.
Home entertainment projector is usually brighter - above 3000 lumens, it usually does not require a darkened room and have a faster response time. It's suitable for watching movies as well as playing sport videos and gaming ( PS5, Xbox, Nintendo, PC). Some model have a dedicated sport mode to watch sport and some are specifically designed for gaming. If you're buying the projector for gaming, look for a projector that have a response rate around 10ms (the lesser the better).
Home Theatre Projector is usually around 2000 lumens mark, it's dimmer in comparison but have a higher contrast ratio, it requires to be used in a room with controlled lighting environment. (Dimmable lighting, room with blinds or curtains..etc) The darker the room it is, the more picture detail (information) it can show.
4k Projector is becoming mainstream in 2022. 4k projector has 4 times the resolution of a Full Hd projector, it can also produce High Dynamic Range (HDR) picture. With HDR technology turned on, it produce a significant difference and much better picture with deeper black and vivid colour than a projector without HDR. The result is noticeable. Some selected Full HD home projector model also capable of producing HDR.
There are some new LED portable Home Projector rolled out in 2022. These are lifestyle projector which is smaller in size and lighter in comparison and they are portable which you can move them room to room, but they are not as bright, from 1000-1500 lumens compare to other home projectors.