Thanks a bunch for the responses and advice guys. Sorry it took me so long to get back to this thread, but I had a very busy weekend at work.
So I looked into both the Black Magic Cinema cameras and the various DSLR cameras you guys recommended. The Black Magic in particular looks really, really cool, but I'm not sure if it's the right camera for me.
Honestly, I'm looking for simplicity to start out. I have a notoriously low amount of motivation, and if something requires a ton of setup (lights, tripods, carefully controlled environments, ect.) every time I want to use it, I'm very likely to just stop using it.
I currently don't have any major projects actually planned, I just wanna get out there and start shooting stuff to galvanize myself into doing more creative work. Things such as image stabilization, great low light capability and relatively cheap cost is very, very important to me. To give you guys an example of where I'm at, I've been shooting little shorts on my iPhone 5S recently, and I find both the audio quality and video quality decent (obviously, I'm well aware that they're not, but that's where my bar is currently).
Cameras with interchangeable lenses would be great, but they would also be far more than I want to spend for what is going to start out as a hobby. Obviously I want to work this creative endeavor into something much more as time goes on, and it would be great to eventually turn it into some sort of business, but there are no guarantees of that. Honestly, just as likely would be me messing around with the camera for a couple months, making a few short films, then setting it all aside. That's not what I want or expect to happen, but it's a possibility.
So, with that in mind (literally coming from filming with the iPhone 5S and finding it ok, wanting something fairly cheap but not too shitty) would the XA20 be a good choice, or is there something better around that price point and accessibility level?