I have a TV, a projector and a VR headset, which essentially are your options, so let me run through each of them giving you pros/cons for each.

VR headset was a cool solution that someone mentioned here. It is an interesting approach, and the cheapest way to feel at the movie theater by yourself, it also allows you to play VR games which can be very immersive and it’s an experience. However it’s the worst visual quality of the 3 and you can’t bring anyone over for movie night.

Projectors can be really bad, but since you have a good budget a little research should get you a relatively decent projector with at least 1080p native resolution. If you’re looking for screen size, or have limited space for a TV, this is the way. However, even great projectors will struggle with daylight, your room needs to be as dark as possible, which might mean blackout curtains completely closed if watching during daytime. Also audio can be relatively bad, especially because some projectors are somewhat loud, but you should be able to get a quiet decent one for that budget, but you might want to consider speakers or a sound bar.

TVs are cheap and give you the best visual quality per price. They’re a pain in the ass to move (but not as much as you might think), but they don’t have any of the drawbacks of any of the other forms, but they’re also not great, however for 1k you can get an excellent TV and a very good sound bar that will allow you to view content in 4K HDR during daytime.