What are the Best Portable Projector for Home Theater?

Hey everyone, I’m looking for the best portable projector for home theater use. I’ve checked a lot of recommendations but still confused what to pick. Main use will be movies and casual gaming so I need good picture quality and low input lag. Also looking for something with decent brightness and easy setup. Prefer a mini projector with built in speakers or USB/HDMI support.

Any solid budget portable projector suggestions would really help!