I make stuff.
I know you asked mostly for equipment recommendations, and it seems like folks have given you some great advice. I want to stress the talent portion of things, because it seems like your movie is going to rely almost entirely on dialogue. It won't matter if it looks great if your actors have no spark. Do you have experience in working with actors? Have you thought about how you're going to communicate everything in your head to them? I'd definitely encourage you to do some research and to think deeply about that aspect. Directing actors is highly individual, but some general principals apply, and there are lots of good resources out there. Good luck!