I can highly recommend the GH series of Panasonic cameras; even the GH2-- which has dropped significantly in price --can hold up to most indie filmmaking challenges. The amount of rigorous camera work that we put the GH2 through for Blue Card was astonishing; most cameras that I've used could not hold up in that many different non-ideal situations. Obviously the best will still come with patience and good lighting, but we all know that's not always a possibility. Through sub-freezing snow storms, rain, and near darkness the GH2 held it's ground and image quality.
I have worked with the camera during a "one-man-band" kind of shoot and will be shooting a web series this coming weekend. I'm already a huge fan of my GH2 and the GH4 has everything I love about the series of cameras and much more. Attempt Pictures offers rentals in the Pittsburgh area starting around $30/day. Contact firstname.lastname@example.org for more details about the rentals.
UPDATE: We recently used the GH4 to shoot a web series and my thoughts on the camera continue to evolve. We found it very hard to shoot in low light and correct images that were not taken in ideal lighting. We shot the entire thing at 1080p - 24fps - 200mbs with the FD Lenses that I mentioned above. The camera seemed to pick up a lot of the imperfections in the lenses at more open f stops.
I will make a future post about this when we get a chance to rent nicer lenses to pair with the quality of the camera.